The Organic Chemistry Tutor Algebra Playlist

The Organic Chemistry Tutor Algebra PlaylistThe Organic Chemistry Tutor Algebra Playlist is a very useful and powerful method to get a student involved in the material being taught. There are several methods that a teacher can teach an algebra course, but one of the more fun and interactive ones is a good one for doing so. Instead of teaching the concepts of how things work with words, this method incorporates working on a physical object. This is why it is known as the Organic Chemistry tutor algebra playlist.The thing that makes this playlist so unique is that it is made of only organic chemistry pieces that will work with this particular practice. Since the student has a physical object to manipulate instead of words and syllables, this will greatly help them in the class. It will also make it much easier for the student to think about the concepts being taught. They will be working with something rather than a boring word.The playlist is also a good way for the teacher to keep tr ack of what works and what doesn't. If they are testing certain ideas in class and if they are also learning new ideas and seeing things through different perspectives, then a mix of physical objects and concepts is helpful to make sure that students will do well in the class. It is also a good way to be able to see which types of learning materials work and which don't. Since there are only certain things in the playlist that will work, this allows the teacher to tailor the content for each lesson in the classroom.The Organic Chemistry Tutor Algebra Playlist is easy to make. There are only six pieces in the class, five visual and one auditory. The visual set-up consists of a chunk of a tree that the student has to cut down with a saw. The auditory portion involves listening to a recorded lecture from a tutor.Using this playlist is great for both the organic chemistry tutor and the student. They are not trying to teach each other the concepts in a lecture-style setting, which will m ake it easier for the student to follow along with the class. This works in their favor because the student won't have to take notes and then start from scratch every time. They are just presented with a great resource and they have something to learn along with it.If you plan on doing some kind of homework assignment that involves working with a physical object, this playlist might be right up your alley. It is not going to be as thorough as just using the organic chemistry tutor algebra playlist with the syllabus in place, but it should get the same benefit. The teacher will be able to give a big picture view of the material being taught and the student will have the ability to think about things in a different way. It is a great way to practice, because it is all engaging, yet not too overwhelming. It will give the student an idea of what is expected and what is not, while at the same time, helping them work toward understanding the concepts being taught.The Organic Chemistry Tut or Algebra Playlist is a powerful tool that will make learning easier and more effective for both the student and the teacher. When used correctly, it can help someone learn a lot faster than normal. There are some great tools out there that allow the student to work with physical objects or concepts, and this is one of them. It is worth looking into and considering if you are interested in doing things a little differently with the chemistry and getting a better understanding.

A Physicists Perspective on AP Chemistry

A Physicist's Perspective on AP ChemistryAP Chemistry is now getting a lot of use, especially in high schools. This kind of education makes it easy for students to master the main concepts of these classes, such as division and integration, so that they can make sense of algebra and advanced science concepts.Basic principles of chemistry are basically proven to be valid for all sorts of material. However, for many students, studying such a topic could be a bit daunting. Thankfully, AP Chemistry is designed in such a way that it would be easy for students to master the concepts in such a manner that would help them become ready for chemistry at university level.The theory behind AP Chemistry is not easy to grasp initially, but after learning the fundamentals, students would be able to understand more about its functions and how it differs from that of college-level class. Students need to remember that they need to use their mind and will power to learn every concept as well as basic facts of science.For this reason, AP Chemistry is intending to become a supplementary method of education. In most cases, you would be able to teach these subjects at your own place without spending any time and money in college because most of the required materials would already be available online.In order to ensure that you are good enough to pass this type of course, you must pass the AP Aptitude Test. Most of the colleges conduct this examination and it usually asks questions related to natural sciences, such as chemistry, physics, biology, and biology.Aside from that, if you want to work with physics and chemistry in these science courses, you need to get an exam in Physics or Chemistry. In addition, you must take a career test in both subjects, which is organized by these institutions.Thus, you must remember that these courses are not for those who are not ready to tackle higher level science courses. In fact, there are other high school courses that are intended for those w ho are indeed ready to advance to more advanced subjects of study.

Online Tutoring Gives 24 x 7 Access Facilities

Online Tutoring Gives 24 x 7 Access Facilities 0SHARESShare Technology has revolutionized learning. Online tutoring is the new format of gathering knowledge, which is speedily gaining recognition across the world.  With the increase in demand for electronic learning, there are many e-learning companies in the market offering these services. Tutor Pace, an online tutoring website has sufficient experience in this field. The website provides highly experienced live tutors. These tutorials may be accessed 24*7 by students from k-12. Students can attend sessions from the comfort of their home and review course material as often as needed. Virtual classrooms have become a reality now. The technology allows students to interact with faculties via conferences (shared whiteboard and live chat). Students have more control over their learning process and can understand the lessons well.   Online homework help, online test preparation, online assignment help ensures expected grade. The learning process is incessantly developing and service providers come up with new solutions every day. Internet learning is cost-effective and can be modified according to the definite requirements of the clients. E-learning module not only benefits the students in achieving the academic goal but also helps parents to track their kid’s progress. [starbox id=admin]

How to Have a Terrible Band Practice in 10 Easy Steps

How to Have a Terrible Band Practice in 10 Easy Steps Megan L. If youre anything like me, youre always trying to find ways to sharpen your skills as a musician and as a bandmate. Even though you try your best, there are still days when nothing seems to go right.   So I wondered, what would the absolute worst band practice really look like? Guitar teacher Jessica D. shares her nightmare vision of a rehearsal  gone terribly, horribly wrong Step 1: Nothings worse than not knowing if your bandmate will show up for practice, so why not have a lead singer who regularly gets arrested for their  art? Maybe she doubles as a graffiti artist, maybe he protests animal cruelty with a ukulele. Regardless of his or her deal, she’s messing up the band, man! Pro tip: Accept her collect call from prison, duct tape the phone to a mic and play fast: Inmates don’t get a lot of talk time. Step 2: Make sure your dad is musical, always wanted to be in a band, and then set up your practice in his garage. That way he can keep sticking his head in to say things like, “You guys need anything?” and “It’s sounding pretty good in here.” This is the gateway to him working his way over the microphone and finagling a guitar out of your hands so he can play a cover of “Black Cow real quick. Step 3: Alternatively, have a dad who uses the garage as his workshop. He always decides he has to drill a  hole into that piece of wood just as soon as you get the Marshalls fired up. Dad drill: 1. Guitar: 0. Step 4: For a truly disastrous practice, it’s necessary that someone in the band has a cold. There’s always a case of the flu, strep or mono going around. Bonus points if the singer is sick. Step 5: Make sure half your band smokes. Every two  songs the drummer, guitarist, and triangle player will be outside getting their nicotine fix while you’re inside wondering how in holy hot cakes it takes 25 minutes to smoke a cigarette. Step 6. Have a band “Yoko Ono”. Someone in the band must have  a serious girlfriend or boyfriend (probably the bassist). Ask them to bring their “other half” along so they can give unsolicited  advice to the band, break out in a spontaneous fight, or even better, storm out and then the bassist will have to chase after them. Band practice postponed! Step 7. Include your sibling in the band, but be sure  it’s the one you get along with the least. Undermine each other at least a handful of times during practice, leaving the rest of the band scratching their heads and taking multiple cigarette breaks. Taking digs at each other or insulting each other’s technique or ability is fine, but if it can come down to fisticuffs every other practice, you’ll start to get a reputation and you know what they sayâ€"no press is bad press… Step 8. Use this one with caution, for serious pros onlyDevelop a nasty little drug habit. Heroin or cocaine seem to be the rock drug of choice but those are old school, expensive and way too creepy. No, instead, stay modern and show the kids you’re relevant: get into ayahuasca or good old fashioned pain killers, like codeine. Heck, start a trend and get addicted to Advil, but make sure you let everyone know about itgotta keep that press machine churning. Step 9. It’s advised the drummer get a flat tire on their way to practice. Bonus points if it’s a speeding ticket, because when they finally arrive, they’ll demand that everyone has to split the fine with them, which will spark a debate, “I wasn’t driving, why do I have to pay?” / “Because it’s your band, dude,” and the next couple gigs will be spent raising the funds to pay off the fines. Are you having fun yet? Step 10. Crash and burn. This is an easy one. Just play your ax really hard, like you’re Jimmy Hendrix meets Jimmy Page, even if you only know  four  chords, and snap a string. Make it a good one, like an A or a B string, none of this high E string nonsense, so you’ll HAVE to stop band practice and change it. While you do that, your sibling can put you down which will start a fight, the band can go take a cigarette break, the bassist’s girlfriend will run off, the drummer will take a ride to blow off some steam and get another speeding ticket, the jailed singer will call while you’re out and blow their one chance at singing into the phone, and your dad will decide this is the perfect time to try out that new drill bit. At this point at least one band member should quit, meaning you’ll have to find a replacement and that could take weeks. Band practice on hold til further notice! Got a band practice horror story? Tell us all about it in the comments below! Post Author: Jessica D. Jessica D. is a guitar, ukulele, singing, and songwriting instructor in New York, New York. Learn more about Jessica here! Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher

Online Educational Technology Revolution and Its Importance

Online Educational Technology Revolution and Its Importance 0SHARESShare Educational technology is the medium for tutors to deliver content to their students, in distant, direct and face to face. In the process, tutors use mechanism of information technology to deliver educational materials. The educational technology is used in schools, universities, local academic institutions, distance learning, online tutoring and corporate bodies. It is used to develop positive attitudes towards increasing learning skills of the students. Even corporate houses use technology to increase the work skills of the workforce. The investment in educational technology tools, professional development of students, network access and new personalized curriculum are new modern reforms that fulfill the needs of 21st century learners. The need of the present age is to prepare students to function in a 21st century work environment where employees are expected to make connections between new and existing knowledge and collaborate on the projects. The technology used to promote literacy and help struggling learners is the practical approach. Education researchers, professionals, academicians and policy makers are defining a new set of challenges with change in curriculum content. They work together to emphasize novel technology integration and innovation in the entire culture of learning. A few ways of using technology in learning really help students to be organized and disciplined. The education technology traits like planning of study hours, schedule time with an online tutor, the way in which student express their doubts, preparing notes and spreadsheet to keep classroom data more organized prepare students to perform better in future as a professional. Global awareness and collaboration skills have also contributed a lot to enhance the use of technology. Tutoring online has successfully leveraged benefits of online education technologies. Today, lot of academician and online tutors offer various academic help right from K-12 grade to college grade. [starbox id=admin]

Elocution Lessons Near Me in the UK

Elocution Lessons Near Me in the UK The Top Elocution Classes across the UK ChaptersThe Best Elocution Lessons in LondonThe Top Elocution Classes in ScotlandElocution Tutors across EnglandElocution Training in Wales and Northern IrelandTry Superprof for Private Elocution TuitionElocution, these days, means a lot of things. Not all of it is stuffy and vaguely Victorian, in the way that we probably instinctively think of elocution. Rather, it covers the range of everything you might need to speak ‘well’: from accent reduction to standard English pronunciation, from public speaking to presentation skills, from speech therapy to effective communication.And there are many reasons why you might want to go to elocution classes. It’s not just so that you can speak in received pronunciation â€" although there is nothing wrong with that. Feeling as though you speak English well helps you to gain confidence, to be relaxed in conversational contexts, and to feel as though you have nothing to hide.It is a hugely helpful subject to learn and is available to anyone. So, brush aside the preconceptions. If you are interested in pursuing a career in business, drama, or public speaking, some sort of speech training might be really helpful for you.And that’s why we’re here. We’ve drawn up a list of some of the best vocal training classes from across the UK. So, if you are looking for elocution lessons near you, you are in the right place. Let’s take a look.Wondering what is elocution? Find out by following the link! CalumDrama School Entrance Teacher 5.00 (15) £50/h1st lesson free!Discover all our tutors ToriSpanish Teacher 5.00 (1) £15/h1st lesson free!Discover all our tutors OliviaSchool support Teacher 5.00 (2) £21/h1st lesson free!Discover all our tutors MarkESOL (English) Teacher 4.76 (17) £20/h1st lesson free!Discover all our tutors YuweiChinese Teacher 4.33 (6) £19/h1st lesson free!Discover all our tutors JenniferMusic reading Teacher 5.00 (1) £30/h1st lesson free!Discover all our tutors LouiseAutoCAD Teacher 5.00 (3) £6 0/h1st lesson free!Discover all our tutors RickyPercussion Teacher 5.00 (7) £35/h1st lesson free!Discover all our tutors NicolasGuitar Teacher 5.00 (2) £35/h1st lesson free!Discover all our tutors MyriamOrganic chemistry Teacher 5.00 (13) £20/h1st lesson free!Discover all our tutors JonathanEconomics Teacher 5.00 (9) £40/h1st lesson free!Discover all our tutors Oluwakemi imoleMaths Teacher 5.00 (1) £30/h1st lesson free!Discover all our tutors AlexPhysics Teacher 5.00 (1) £50/h1st lesson free!Discover all our tutors AdamSinging Teacher 5.00 (14) £48/h1st lesson free!Discover all our tutors ValentiniMusic reading Teacher 5.00 (2) £50/h1st lesson free!Discover all our tutors MilenaMaths Teacher 5.00 (5) £25/h1st lesson free!Discover all our tutors RashmiEconomics Teacher 5.00 (1) £35/h1st lesson free!Discover all our tutorsThe Best Elocution Lessons in LondonLondoners tend to think that their city is the best on the planet. And, with the endless opportunity it has f or fun, education, and culture, you can see why they might think so.The UK’s capital is, without a doubt, the best place to train in elocution in the country. Whether it is accent training, intonation, or just general spoken English you hope to improve, London is certainly the best place to do it.Let’s look at your options.Train Your Voice with William Harte.William Harte is a voice training school based out of London whose many voice coaches are generally drama school graduates.Whether you are a leader who wants to improve their business communication or a non-native English speaker hoping to pick up a better English accent, these theatre school grads can help.Get in touch with them for a one-to-one lesson â€" or else book into one of their group training workshops.Practise Your Phonetics with London’s Pronunciation Studio.The Pronunciation Studio is an organisation for learners of English as a second language that is based entirely around the phonetic elements of the languag e. So, if you want to learn how to pronounce vowel sounds and consonant sounds correctly with a British accent, this might be the place for you.Elocution isn’t just about reading aloud or training public speakers. At its simplest, it’s about the ways we pronounce words and make ourselves understood. Actors need elocution classes tooLearn Elocution with Ashley Howard.Ashley Howard is based in Leytonstone and he is a qualified voice teacher. He has worked with clients from all parts of the spectrum from business to government to drama â€" and from all over the world too.So, if you are developing your English-speaking skills from scratch, or you are a native speaker who wants to develop one of their communication skills, Ashley Howard may be your man.Attend Articulation Workshops at the City Academy, London.For businesspeople who want to develop their clarity and learn to speak more confidently, City Academy has a course for you â€" run from locations across north London.You’ll be looking at the specificities of diction and enunciation and you’ll be looking at your facial expression too. This is a great opportunity for flexible, group-based elocution training in the heart of London. The Top Elocution Classes in ScotlandYet, it is not only London that has opportunities for speec h and language training. Scotland has a significant number of communication and elocution lessons for those who feel like they are in need.Scotland is a country, however, and we don’t have the space to cover them all. Here are three just to wet your whistle.Talk to Steve from SkillStudio for Voice Coaching in Southern Scotland.The majority of the vocal coaches in Scotland are based in the southern belt â€" where pretty much the majority of everything else is based too. Steve, from a training organisation called SkillStudio, is based there too.He works with all sorts of different people and businesses to improve their presentation skills, media work, and public speaking. And he can help you develop your skills in these fields too.Head to Glasgow’s Kirsty Strain for Vocal Training.Based in Glasgow, Kirsty Strain is a professional actor who has worked with different clients from business and drama to help develop their vocal skills. She works in accent reduction training and foreig n accent and dialect training â€" as well as presentation skills and public speaking.She is your best bet if you are in Glasgow. You’ll be feeling happier about your voice in no time.Try Perth’s Speech Trainer, Ian Brown.Ian Brown is another Scottish vocal coach, working with businesses and actors to help build their vocal range and speaking confidence. Brown, this time, is based in Perth, but can travel over to Dundee and down to Edinburgh and Glasgow.He works with everyone who wants help with their speaking â€" from the best man who needs to practise for a speech to someone facing a scary interview. CalumDrama School Entrance Teacher 5.00 (15) £50/h1st lesson free!Discover all our tutors ToriSpanish Teacher 5.00 (1) £15/h1st lesson free!Discover all our tutors OliviaSchool support Teacher 5.00 (2) £21/h1st lesson free!Discover all our tutors MarkESOL (English) Teacher 4.76 (17) £20/h1st lesson free!Discover all our tutors YuweiChinese Teacher 4.33 (6) £19/h1st lesson free!Discover all our tutors JenniferMusic reading Teacher 5.00 (1) £30/h1st lesson free!Discover all our tutors LouiseAutoCAD Teacher 5.00 (3) £60/h1st lesson free!Discover all our tutors RickyPercussion Teacher 5.00 (7) £35/h1st lesson free!Discover all our tutors NicolasGuitar Teacher 5.00 (2) £35/h1st lesson free!Discover all our tutors MyriamOrganic chemistry Teacher 5.00 (13) £20/h1st lesson free!Discover all our tutors JonathanEconomics Teacher 5.00 (9) £40/h1st lesson free!Discover all our tutors Oluwakemi imoleMaths Teacher 5.00 (1) £30/h1st lesson free!Discover all our tutors AlexPhysics Teacher 5.00 (1) £50/h1st lesson free!Discover all our tutors AdamSinging Teacher 5.00 (14) £48/h1st lesson free!Discover all our tutors ValentiniMusic reading Teacher 5.00 (2) £50/h1st lesson free!Discover all our tutors MilenaMaths Teacher 5.00 (5) £25/h1st lesson free!Discover all our tutors RashmiEconomics Teacher 5.00 (1) £35/h1st lesson free!Discover all our tutorsElocution Tutors across EnglandA similar variety exists among the elocution coaches spread across England. Trust, however, that you will find what you are looking for, wherever it is you are based.Here, the same disclaimer applies as did above. This is far from an exhaustive list of voice training opportunities in England. There are many many more.Try Phoenix Voice in Manchester.Phoenix Voice is run by Heather Phoenix, a voice coach and acting teacher from Manchester, with over thirty years’ experience. She’s been a professional actor herself, so knows the pressures of the trade, whilst she has been teaching for fifteen years. She knows her stuff.She offers voice coaching for business and personal success, with her speech training incorporating body language, handling nerves, and effective expression too.Check Out the Voice Coaching at the Merseyside Academy of Drama.At the Merseyside Academy of Drama, you can take voice training with an individual tutor or you can do it o nline. They will help you with elocution and presentation skills â€" along with anything else you might need to be an effective communicator or public speaker.MAD runs across the Liverpool area, offering training in communication and drama for anyone who would like to attend. Enrol at the Birmingham School of Elocution for Voice Training.In Birmingham, those interested in taking voice training have the option of the highly professional Birmingham School of Elocution, an institution that has been running for nearly thirty years.They are accredited by three different linguistic organisations and they offer training towards qualifications for children and adults too.Find elocution classes online! Elocution lessons help you do this.Elocution Training in Wales and Northern IrelandAnd let’s not forget Wales and Northern Ireland, the two smallest nations of the United Kingdom. There are of course plenty of opportunities for elocution lessons and vocal training in both â€" and the best available are world class.Again, the same disclaimers apply. There are more opportunities in Wales and Northern Ireland than can fit in this particular article. With a bit of research, you will find lots more besides these ones listed here.Try Louisa Jane’s Voice Training in Cardiff.If you are lucky enough to live in Cardiff and be interested in elocution lessons, get in touch with Louisa Jane. She is a lecturer in voice at the Royal Welsh College of Music Drama and has worked alongside different organisations such as the BBC, the RSC, and the Royal Academy of Music.She can help with all different aspects of your voice training.Head to SD Voice Coach in Belfast.Or, in Belfast, your best bet is to head to SD Voice Coach. Run by Sara Dylan on the east of the city, you’ll be taught how to make your accent or confidence everything you want it to be.Sara offers one-on-one sessions or group training, as well as specialist sessions on how to present yourself to the camera â€" for business or acting purposes.Try Superprof for Private Elocution TuitionIn any location across the UK, there is the opportunity to learn elocution with Superprof, our platform that connects students with tutors from across the world.We have a huge number of different tutors in elocution, offering everything the subject requires â€" from accent reduction to confident public speaking.Find out all you need to know about elocution training! Speaking doesn't need to be difficult!

3 Embarrassing Mistakes New Spanish Speakers Make [With Audio]

3 Embarrassing Mistakes New Spanish Speakers Make [With Audio] Suzy S. If youre shy about speaking Spanish, youre not alone. Even if you feel comfortable reading and writing it, speaking it can be nerve-wracking! Check out these tips from tutor Emmanuel N.  to learn how to pronounce Spanish words quickly and efficiently As youre learning Spanish, you may notice that reading it and writing it is often the easy part. Many people agree that speaking Spanish is the hard part. Wondering why that is? Usually it’s because learning how to pronounce Spanish words takes time. We’ve all heard the stereotypical American way of speaking Spanish, in which the language is utterly butchered: Fortunately, most Spanish learners do not speak this way. However, some Spanish learners still have trouble getting the accent and pronunciation correct. This is one reason why you might not like talking in Spanish â€" you might feel embarrassed. With that said, allow me to help you, my Spanish learners. Common Problems For Spanish Learners In my experience, most Spanish learners have difficulty with the different sounds that Spanish words ask of them. Below are the most common problems: 1) Putting emphasis on the wrong syllable on a word with an accent mark, e.g. “obstáculo,” which means “obstacle.” People can sometimes mispronounce it like this: when the correct way is this: 2) Not putting enough force on the beginning of a word, e.g.  â€œel gato” which means “the cat.” People sometimes say the word like this: when it really should be said like this: 3) Failing to pronounce words with “r’s” and “rr’s” correctly, e.g.  â€œes caro” and “el carro, which means “it’s cheap” and “the car” respectively. People sometimes pronounce both words like this: or both words like this: When the correct way is this: Spanish relies heavily on pronunciation, so if you don’t pronounce words correctly, it becomes extremely difficult for others to understand you! Thats why I recommend trying to mimic the sounds that Spanish speakers make as you learn. I, for one, never spoke Spanish despite knowing it growing up. I never had the accent Latinos had because I spoke only English for school. But then I practiced for years with my family, cousins, and friends, and though I do not have the perfect Latino accent, I am able to pronounce words correctly and be understood by anyone. Tips For How to Pronounce Spanish Words Remembering how to pronounce Spanish words can be tricky if you’re not Latino or if you didn’t grow up in a household where people spoke Spanish on a daily basis. If you were never exposed to the accent and the proper way of speaking the language, then you naturally use your natural tongue (i.e. your own accent from your language) to speak Spanish â€" hence the Spanish we all know of when we think of a stereotypical American trying to speak it. Here are some tips for learning to speak Spanish properly: Watch TV shows and movies either in Spanish or translate them in Spanish (i.e. SAP). By listening to Spanish speakers, youll hear how the words are meant to be spoken. Keep in mind, though, that dialects do exist in all Spanish-speaking countries, so the words might sound different depending on what show or movie you’re watching. Listen to and sing along to Spanish songs. Some Spanish songs have words that are sung slower than they are normally spoken, thus making it easier for Spanish learners to hear how they are pronounced. Singing along helps more than just listening because you are practicing the words and sounding (singing) them out like the singer. Ask your Spanish-speaking friends to help you. Ask them to have conversations with you. Ask them to read Spanish words and sentences out loud for you, slowly if need be. Also, try speaking in front of them and ask for feedback to find out where you are having trouble. Keep your Spanish lessons consistent, and ask your tutor for extra homework if youre struggling! Learning any language is hard as it is, but being able to speak it and pronounce words correctly can be a whole different challenge. But like with everything, practice makes perfect! Interested in studying Spanish with a tutor?  Search for a Spanish tutor  today! Emmanuel M. teaches Spanish online. A California State University, Fullerton graduate and native Spanish speaker, he also teaches essay writing, study skills, and singing.  Learn more about Emmanuel here! Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher Photo by  ismael villafranco

Interval Notation Online Tutoring - Maths Tutors

Interval Notation Online Tutoring - Maths Tutors Interval notation is a way to express a set of number in the form of an inequality. Usually set of real numbers are represented using the interval notation. There are following types of interval notations: Open Interval : This is represented are (c, d) Closed interval: This is represented as [c, d] Half Open Interval: This is represented as [c, d) or (c, d] Non ending interval: This can be represented as (-, c) or (c, ). Example 1: Interpret the following interval notations: (a) ( 2, 5 ) (b) [ 2, 5 ) (c) ( - 2, 5 ] Solution: The given interval notations can be interpreted as follows: (a) (2,5) : This set consists of all real numbers between 2 and 5 but excluding 2 and 5. (b) [ 2, 5 ) : In this set all real numbers between 2 and 5 are included. This set includes 2 but excludes 5. (c) ( - 2, 5 ]: In this set all real numbers between -2 and 5 are included. This set excludes -2 but includes 5. Example 2: Interpret the interval notations given below in the form of inequality: (a) ( - , 7) (b) (7, ) (c) [ -6, 7 ] Solution: Let p be any general element of the given set. Then the given interval notations can be written in the form of an inequality as below: (a) ( - , 7) : p 7 (b) (7, ): p 7 (c) [ -6, 7 ] : - 6 p 7