Rational Inequalities

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This precalculus video tutorial provides a basic introduction into solving rational inequalitites using a sign chart on a number line and expressing the solution using interval notation and as an inequality. This video contains plenty of examples and practice problems.
Fundamental Theorem of Algebra:
• Fundamental Theorem of...
Rational Expressions - Basic Intro:
• Rational Expressions -...
Simplifying Rational Expressions:
• Simplifying Rational E...
Multiplying Rational Expressions:
• Multiplying Rational E...
Dividing Rational Expressions:
• Dividing Rational Expr...
______________________________________
Adding & Subtracting Rational Expressions:
• Adding and Subtracting...
Rational Expressions - Unlike Denominators:
• Adding and Subtracting...
Simplifying Complex Rational Expressions:
• Simplifying Complex Ra...
How To Solve Rational Equations:
• Solving Rational Equat...
Rational Equations - Extraneous Solutions:
• Extraneous Solutions o...
_____________________________________
Horizontal and Slant Asymptotes:
• Horizontal Asymptotes ...
Finding Rational Functions Given 2 Points:
• How To Find a Rational...
Rational Functions - X and Y Intercepts:
• How To Find The X and ...
Graphing Advanced Rational Functions:
• Graphing Advanced Rati...
Rational Inequalities:
• Rational Inequalities
________________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

Опубликовано:

30 сен 2024

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Комментарии : 473

@TheOrganicChemistryTutor Год назад

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

@rahsaanfoster839 5 лет назад

When the example for the video is the same exact question that's on the homework.

@Imraan53 5 лет назад

LOL

@azaleablanca7967 5 лет назад

Youre lucky

@aishamohammed3416 4 года назад

You couldn't 🤣hide your joooooy

@willamparr3560 4 года назад

@@azaleablanca7967 your'e

@poggers4392 4 года назад

no pfp purple icon gang RISE

@bienangelo9161 4 года назад

This man legit made me understand more in 30 seconds than what my math modules can do in an hour.

@christianbariasaguilar7030 4 года назад

@@imyg5326 where you need to use the union?

@christianbariasaguilar7030 4 года назад

Im still confuse a little

@adriansaldom7627 4 года назад

depeds module is a fckng horse shit

@newsterkun1336 4 года назад

Ikr

@newsterkun1336 4 года назад

@@adriansaldom7627 some r jiat very rushed only few samples and explanations

@slushy6972 2 года назад

I must be really stupid i guess, not even the greatest teacher on the internet can make me understand this

@merzyntaeyamkimpark6426 Месяц назад

Same

@makinbeats9092 5 дней назад

Dang, same bro

@haileybrady6252 4 года назад

I never comment on RU-vid but i just wanted to thank you for this because we’re in online school for COVID-19 right now and you just saved my math grade from plummeting!!

@willamparr3560 4 года назад

I am in the same boat, this lesson was hard to wrap my mind around until you showed me this !

@noohahmed7158 4 года назад

He made a mistake on the last example so be careful

@verypanda1801 4 года назад

@@noohahmed7158 I don't think that there is a mistake on the last problem. I even typed it into WolframAlpha to doublecheck.

@farrah4337 4 года назад

i can relate

@Jfsc 11 месяцев назад

Crazy covid was 3 years ago, still a thing tho in late 2023 yet not that bad

@allanaziz216 3 года назад

Pre-Cal Gang rise up

@itsundreen 6 лет назад

I finally understood when the circle will be hollowed or filled. Thank you so much. Hands down to the brief but meaningful tutorial.

@cheskasalazar4381 3 года назад

literally me

@ayomideadejimi1192 Год назад

Explain please

@skibidibiden69 Год назад

@@ayomideadejimi1192 from what I understood, the circle will be hollowed if it makes the fraction undefined (the denominator is 0) or if the sign used is > or

@kristalmartinez8220 3 года назад

More like goodnight who else watches these videos at like 1am

@ephraimchibale6974 3 месяца назад

@stillsecret5802 5 лет назад

I learned more a lot here than in school ☹️ Thank you so much! 😭😭😭

@tnabizada Год назад

Bro teaches better for 10 minutes than for 50 minutes in school. So complicated in there. Thanks!

@jbrewer4387 Год назад

Exactly.

@ruchir5325 6 лет назад

Tbh the best maths toutorial on YT. Keep it up man 🧐

@jeraldferrerr 5 лет назад

bro why is it he uses parenthesis in 3 > x in 2:32

@skoolwifi3835 5 лет назад

@@jeraldferrerr because they're not including 3, so it's an open circle.

@IMathTutorial 3 года назад

Thank You..

@mohammadrasoulnoori6199 3 года назад

I just started uni, and it's been a week that I tried to understand the last step of inequalities. my teacher spends an hour explaining it and it made me hate it but this legend made it sound so easy. keep up the good work, you are a hero.

@EE-jn8ku 2 года назад

@TwixX. did we ask?

@thorodinson6649 2 года назад

Mashallah

@jonathanherrera8191 5 лет назад

I clicked the ads just for you. Thank you ^100

@elizabethkourbatski6413 3 года назад

Short, sweet, and understandable explanation. Perfect video!

@shahadar4555 2 года назад

Yaaaa♥️♥️

@kaylacopley4833 2 года назад

I cannot thank you enough for this. I’ve been in the library doing these problems over and over for 3 hours straight without getting a single one right. 4 years later and your video is still MAJORLY helping students struggling. THANK YOU THANK YOU THANK YOU!!!!

@chsaarth Год назад

imagine giving 3hours straight without getting a single one

@desler_ 11 месяцев назад

not everyone is a fast learner smart ass

@Room502Math 5 лет назад

I am a high school math teacher and this video was very well done!! thank you!

@JohhMark 27 дней назад

Hello everyone Repent from your sins, and believe the Gospel because the kingdom of Heaven has come near, know and follow Jesus!

@esthersayom3978 Год назад

It help me to understand more better but the english is a little difficult.😀😁😄😟😦😧

@navia810 5 лет назад

Bruh thanks a lot. My teacher cant teach at alllllll. Idk he even chose that career

@xairenexaija5621 3 года назад

i finally understood some points here in ur video about our lesson, but i still cant answer my homework because the numbers/example given in our homework are a lot bigger and more complicated than your examples. And I can't even ask anyone for help because I don't know any of my classmates. Even math reminds me how alone i am lmao fml

@satioOeinas Год назад

bro you literally have a video for everything! very impressive.

@xzas9098 2 года назад

I don't understand at 7:32 when you say, "The denominator can't be zero, so it can't be negative one." But then you use the number one anyways. Where did this new one come from?

@sinsa4134 Год назад

I'm literally watching this at school before my semi-finals. I hope I pass lmao.

@imnotme8711 11 месяцев назад

Did you pass?

@aminahaliman7441 5 лет назад

this tutorial is what I need now because 5 hrs later is our first quarter exam and this is were I study my pointers now Goodluck self

@nishchaykumar6942 4 года назад

i dunno why but from now i have ultimate respect for you

@silverie._. 3 года назад

did you passed?ʕ º ᴥ ºʔ

@adityachakraborty3576 Год назад

Imagine a word without him

@jalcuirez1945 7 месяцев назад

very helpful thanks so much uncle organic chemistry

@romihdon306 10 месяцев назад

1:38 where did the 4 come from? Please enlighten me

@knoodles4062 28 дней назад

the number after positive 3

@ginamariecadavos2761 5 лет назад

I just wanna say, I love this YT channel so much. Thanks man, you deserve a million subscribers

@TheFoolAltAccount 11 месяцев назад

Pre-Calculus 1st exam tomorrow... Procrastination will forever be my bane, and I shall repeatedly see myself in this channel more in the future.

@RitikaMotwani4548 Год назад

Thank you so much,you made it so easy....I have my exam today in 4 hrs

@EdgyW Год назад

Ez sub classwork done when we didn’t even learn the lesson yet. Hopefully my teacher doesn’t beat me for not doing as he said. I did the work and learned the lesson tho..

@Denicely 28 дней назад

He kinda sound like jake from enha 😮😮

@NickSellsMonmouth 3 года назад

I can't thank you enough. You deserve government funding.

@cow9845 28 дней назад

maybe that's not enough. he can also have my college fund.

@danaschannel4593 6 лет назад

Thank you for this helpful video 😁😁you have been my teacher for a long time!!

@tuquyento4322 6 лет назад

Hello Danily sea. What class are you in?

@dhruvamalekar8522 4 года назад

Simply wow.....I was struggling over this topic for a while...thanks for great explanation! :)

@AquaOnYoutube Год назад

i am so stupid i still cant understand anything

@chicken3829 Год назад

Doing Gods work 🙏🏻🙏🏻

@Stephraxia 11 месяцев назад

Mark my words, I will have this man's children.

@mildredlinetteinfantemarin1763 Год назад

daddy let me know that I 'm your only girl, the only man that I need in this gangsta world

@Hgggghhhfria1593 6 месяцев назад

Mujje lga exam ki tips de rahe hai ad ke ander par ye to Colgate ka prachar krne wala nikla😅

@kingyujen 3 года назад

You sound like Matt Damon. Video was helpful btw (:

@maryaklara2397 4 года назад

Thanks a lot! It is so easy to understand. But could I have another question? What if there is no 'x' at the numerator? For example: 2/x²+1>0 [or 2 all over x² +1 greater than 0]? ...how could I plot it in the number line? Thanks in advance!

@neonskie7008 2 года назад

Lol I can only get -1< x square < infinity i < x < infinity

@kingdaleja7605 Год назад

Nandito ako si king nanonood para matuto gwapo na nga matalino pa sa math jok lang HAHAHAHAHAHHAHAHAHHAHAHAHAAH

@Andrews0187 5 лет назад

Thank you so much. This method was so much easier than the one my teacher showed us. Thank you!

@812prancinghorse Год назад

Gonna learn this just for the contribution for my Group's Reporting

@dwaynesalape3874 3 года назад

I can't fully understand the teacher teaching us and now finally I can understand when u explain it, thank you dude so keep it up and use ur talent to teach other peope

@georgesadler7830 2 года назад

MR. Organic Chemistry Tutor , thank you once again for an incredible video on Rational Inequalities. I really understand this topic much better than when I took precalculus in the 1980's.

@beancabathan1367 Год назад

Thanks man,this video help me to understand the topic,my teacher explanation is way more critical and hard to analyse but yours is so understandable

@mohamedalsaadany106 4 года назад

You just made my day EASIER!! Thanks a lot sir 🌹 { Thanks | Thanks > ∞} 😂😂

@jbrewer4387 Год назад

Words can't even explain how thankful I am for you, man. Your videos are single-handedly saving my math grade. I have a college exam this Friday, and I've been trying to figure out how to do this, and now I finally get it. You're a legend. Thank you.

@wis2big 3 года назад

This method is more simple and efficient than knowing first the set notations, interval, and test point by making a table.

@davidbromfieldjr.234 3 года назад

I have a great teacher, but I just use your videos to brush up on certain topics. Thanks!

@unbeatableox3846 3 года назад

Oh God, I'm so glad you existed! Everytime I have a problem with the subjects you are there! A life saver.

@JoshuaBilbao-b7n Год назад

ON MY OWN OPINION THE WAY YOU TEACH IS SO FAST.

@betheretoapplause Год назад

what does that open circle mean? why open circle?

@saminatorx2325 5 лет назад

In the last example, when you divide 5 by -2 wouldn't you be left with -5/2? How did you end up with positive 5/2?

@djbackspin911 5 лет назад

he simplified the fraction

@djijspeakerguy4628 8 месяцев назад

i have a similar problem but the denominator is x^2-49. I assume this can be simplified to (x-7)(x+7)?

@case143ilovehan 2 года назад

Hindi ko padin magets

@preciouschigozie4882 Год назад

This video just saved my life! Thanks

@jamesmccloud7535 4 года назад

This helped me a lot, I can't believe I understand it now after watching you teach it compared to my teacher teaching it. Thank you!

@samarthmn6969 3 года назад

Really helped me man, the most useful 10 minutes I have spent on phone the whole 2020 and 2021

@p.e.t-powerengineeringtuto424 3 года назад

Bloody hell! Light bulb moment! I've been struggling with these trying to see them in my head. This method is so simple and makes complete sense. Pity my textbook didn't explain it like this

@NOOR-cx2jo 2 года назад

That's fantastic how your explanation style is so simple and so understandable ❤️🌸

@_inett Месяц назад

Can you also do complicated examples in your videos? Somehow, it gets difficult when we have quizzes in school and we tend to forget everything that you taught us here cuz the fear of having difficult problems takes over my brainn 😢😢 Maybe being familiar with difficult questions will help us with that :))

@nandukrishna8142 Год назад

Another idea would be to make the highest power of x to be positive to always start from a positive side in the number line

@apriljanet.martinez3828 4 года назад

I'm still confused with closed circle and open circle ,

@lazuli9381 4 года назад

Hollow circle if that number isn't included. For example x is greater than 5 then 5 isn't included. Fillied circle if it's included. X is equal to or greater than 5

@apriljanet.martinez3828 4 года назад

@@lazuli9381 oh thank you I legit almost cried

@apriljanet.martinez3828 4 года назад

@@lazuli9381 for example number 1. Why did he say x+2 can be zero? Sorry I'm kinda bad at english ;-;.

@lazuli9381 4 года назад

@@apriljanet.martinez3828 I think you misheard. He said x +2 can't be zero because you can't have 0 as denominator. It will become undefined

@BrotherofWord 4 года назад

When picking a number to test if sections are included, IF you're on the far left or right sections pick 1M and -1M so you don't have to do any math and maybe trip up with a sign error ;)

@mansigaikwad9220 2 месяца назад

I will tell you a short trick : when we plot points on real number line we have to gave them sign so this shorttrick is for giving correct sing.....if suppose (x+2) have bracket power 1 so it is odd no. And (x+4)² have bracket power 2 it is even so while ploting points on real line if the power is odd then change sing and if power is even then dont change the sign

@L3MONAID1201 2 дня назад

Could I ask, what would happen if the 0 on the right wasn't "0"? Like what if it was 1 or 9?

@wadarDeng 10 месяцев назад

Please help me with this my favourite Tutor 3X + 5 /X-5 < 0 It's really agent

@celestecaraang8022 Год назад

thank you po!! wish me luck!!

@s8080_ 2 года назад

This was already more helpfull than the classes i went to, though could you make one for absolute idiots who don't know what math is? (talking about myself, of course)

@tagz6088 4 года назад

Thank you for this explaining but there is A wrong number you put in 9:06 it's negative -2.5 not positive2.5

@leoupdate8150 4 года назад

TAG Z no it is positive, when x= -5 divided by -2 which gives you a positive 5/2 or 2.5

@dzni9061 2 года назад

bro I've literally been looking for a video to teach me this for days and you managed to teach me in literally 2 minutes. Thank you so much

@mahdighajar3163 Год назад

I actually love u

@jairusmatthewvillaviza7961 2 года назад

guyz pls help, how you do it if ur equation haz two fractons with a sign in the middle, plz help quik my taecher says I only have til 10 to pass, it is now 9:30 plzzzzzz

@renamuchindu1586 Год назад

Can't wait to start earning so I can send you some money for all the help because your videos have done so much for me , from 12th grade up till now in my first year of uni 😭

@lemuelcastillano3195 4 года назад

Hi! can i attach the youtube link of your video to the self-learning modules of our department in order for the students to learn more from the contents of this video aside from the modules that will be distributed to them? Thanks a lot.

@verypanda1801 4 года назад

As long as it is a link to his RU-vid video (so that he can get his money from the advertisements) there is no reason why you would be unable to do this. I hope that all is going well for you and your students. :)

@Nanniwho61 9 месяцев назад

Help your teaching is somewhat diff from what my teacher thought us so If I do this the result will be different 😢 and worse it might get my teacher angry😢😢

@brandonkunn Год назад

I love you mister chemistry tutor

@marzanislampearl8021 3 года назад

One of my massive confusion has been clarified, thank you so much !

@pillowyflunky9931 Год назад

thank you sir

@KrisJairedDeCastro 10 месяцев назад

Oh my god i didn't get the bracket part ever in our class omg i am always zero in here cause i can't understand the process thank you very much

@cowboycody8094 4 года назад

The first example was the same one as on my homework. Awesome.

@reaganrosas2957 3 года назад

thanks bro I learned more from you in under 3 min rather than my teacher explaining this for 40 mins

@mwaslost 2 года назад

My headphones are slightly broken and the volume got lowered, can't really hear you very well.

@kennawhitty5884 3 года назад

I have zero idea when to use open circle and when to use close circle because in the polynomial inequalities video you were using completely different rules than to here.