Rational Inequalities

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  • เผยแพร่เมื่อ 15 ต.ค. 2024
  • 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

ความคิดเห็น • 474

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +26

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

  • @bienangelo9161
    @bienangelo9161 4 ปีที่แล้ว +1335

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

  • @itsundreen
    @itsundreen 6 ปีที่แล้ว +232

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

    • @cheskasalazar4381
      @cheskasalazar4381 4 ปีที่แล้ว +2

      literally me

    • @ayomideadejimi1192
      @ayomideadejimi1192 ปีที่แล้ว +1

      Explain please

    • @skibidibiden69
      @skibidibiden69 ปีที่แล้ว +14

      @@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

  • @kaylacopley4833
    @kaylacopley4833 2 ปีที่แล้ว +46

    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
      @chsaarth ปีที่แล้ว +3

      imagine giving 3hours straight without getting a single one

    • @desler_
      @desler_ ปีที่แล้ว

      not everyone is a fast learner smart ass

  • @haileybrady6252
    @haileybrady6252 4 ปีที่แล้ว +322

    I never comment on TH-cam 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
      @willamparr3560 4 ปีที่แล้ว +7

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

    • @noohahmed7158
      @noohahmed7158 4 ปีที่แล้ว +1

      He made a mistake on the last example so be careful

    • @verypanda1801
      @verypanda1801 4 ปีที่แล้ว +2

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

    • @farrah4337
      @farrah4337 4 ปีที่แล้ว +1

      i can relate

    • @Jfsc
      @Jfsc ปีที่แล้ว +3

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

  • @tnabizada
    @tnabizada ปีที่แล้ว +72

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

  • @mohammadrasoulnoori6199
    @mohammadrasoulnoori6199 3 ปีที่แล้ว +84

    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.

  • @rahsaanfoster839
    @rahsaanfoster839 5 ปีที่แล้ว +1050

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

  • @ruchir5325
    @ruchir5325 6 ปีที่แล้ว +110

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

    • @jeraldferrerr
      @jeraldferrerr 5 ปีที่แล้ว +1

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

    • @skoolwifi3835
      @skoolwifi3835 5 ปีที่แล้ว +1

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

  • @Room502Math
    @Room502Math 5 ปีที่แล้ว +21

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

  • @elizabethkourbatski6413
    @elizabethkourbatski6413 3 ปีที่แล้ว +31

    Short, sweet, and understandable explanation. Perfect video!

  • @jbrewer4387
    @jbrewer4387 ปีที่แล้ว +3

    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.

  • @TheFoolAltAccount
    @TheFoolAltAccount 11 หลายเดือนก่อน +3

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

  • @stillsecret5802
    @stillsecret5802 5 ปีที่แล้ว +83

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

  • @satioOeinas
    @satioOeinas ปีที่แล้ว +6

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

  • @ginamariecadavos2761
    @ginamariecadavos2761 5 ปีที่แล้ว +7

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

  • @dwaynesalape3874
    @dwaynesalape3874 3 ปีที่แล้ว +3

    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

  • @jonathanherrera8191
    @jonathanherrera8191 5 ปีที่แล้ว +27

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

  • @michaelhernandez2075
    @michaelhernandez2075 4 ปีที่แล้ว +1

    you are without a doubt the MVP of 2020. You have helped me with Chemistry and now some Algebra. Thank you.

  • @unbeatableox3846
    @unbeatableox3846 4 ปีที่แล้ว +2

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

  • @slushy6972
    @slushy6972 2 ปีที่แล้ว +26

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

  • @samarthmn6969
    @samarthmn6969 3 ปีที่แล้ว +2

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

  • @dzni9061
    @dzni9061 3 ปีที่แล้ว +1

    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

  • @aminahaliman7441
    @aminahaliman7441 5 ปีที่แล้ว +9

    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
      @nishchaykumar6942 4 ปีที่แล้ว

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

    • @silverie._.
      @silverie._. 3 ปีที่แล้ว

      did you passed?ʕ º ᴥ ºʔ

  • @adinfinitum5739
    @adinfinitum5739 6 หลายเดือนก่อน

    The first one minute fixed hours and hours of suffering with inequalities, thank you so much!

  • @imeantnoharmto410
    @imeantnoharmto410 2 ปีที่แล้ว +1

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

  • @RitikaMotwani4548
    @RitikaMotwani4548 ปีที่แล้ว +3

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

  • @georgesadler7830
    @georgesadler7830 2 ปีที่แล้ว +4

    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.

  • @jamesmccloud7535
    @jamesmccloud7535 4 ปีที่แล้ว +3

    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!

  • @IMathTutorial
    @IMathTutorial 3 ปีที่แล้ว +20

    Thank You..

  • @reaganrosas2957
    @reaganrosas2957 3 ปีที่แล้ว +1

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

  • @cathalmagee8372
    @cathalmagee8372 3 ปีที่แล้ว +1

    this man has the most assuring voice

  • @Andrews0187
    @Andrews0187 5 ปีที่แล้ว +7

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

  • @danaschannel4593
    @danaschannel4593 6 ปีที่แล้ว +8

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

    • @tuquyento4322
      @tuquyento4322 6 ปีที่แล้ว

      Hello Danily sea. What class are you in?

  • @peaceb680
    @peaceb680 4 ปีที่แล้ว

    Honestly, he’s my pre calc teacher at this point he explains it much better

  • @wis2big
    @wis2big 4 ปีที่แล้ว +5

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

  • @parthapratimbasak06
    @parthapratimbasak06 2 ปีที่แล้ว

    Sir you are a saviour, i couldn't understand any single thing about this in my class. You made it clear as crystal.

  • @ellaalbrecht5356
    @ellaalbrecht5356 5 ปีที่แล้ว +1

    i cant believe he doesnt have more subscribers he has the most helpful videos!!

  • @davidbromfieldjr.234
    @davidbromfieldjr.234 3 ปีที่แล้ว +2

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

  • @noela4444
    @noela4444 2 ปีที่แล้ว

    You don't know how much you've saved my life thank you sm for this video. May angels continue to look after you

  • @beancabathan1367
    @beancabathan1367 2 ปีที่แล้ว +2

    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

  • @devineramada6350
    @devineramada6350 10 หลายเดือนก่อน

    thank you very much , it made me understand more in half an hour than listening 1 hour to our class

  • @preciouschigozie4882
    @preciouschigozie4882 ปีที่แล้ว +3

    This video just saved my life! Thanks

  • @JoshuaBilbao-b7n
    @JoshuaBilbao-b7n ปีที่แล้ว +1

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

  • @MaggieNsonah
    @MaggieNsonah 6 หลายเดือนก่อน

    The best math tutor on YT

  • @NOOR-cx2jo
    @NOOR-cx2jo 2 ปีที่แล้ว +3

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

  • @MyMagic26
    @MyMagic26 5 ปีที่แล้ว +7

    Because of you I am passing Pre-calc, you're awesome man thank you!!!

  • @dhruvamalekar8522
    @dhruvamalekar8522 4 ปีที่แล้ว +5

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

  • @sushi9478
    @sushi9478 4 ปีที่แล้ว

    Man thankyou so much, you give examples that aren't basic, as well as the rational equations

  • @suwilanjinankolongo6848
    @suwilanjinankolongo6848 3 ปีที่แล้ว +1

    organic chemistry tutor is is the best

  • @jalcuirez1945
    @jalcuirez1945 7 หลายเดือนก่อน +1

    very helpful thanks so much uncle organic chemistry

  • @marzanislampearl8021
    @marzanislampearl8021 3 ปีที่แล้ว +2

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

  • @joshuarufino172
    @joshuarufino172 2 ปีที่แล้ว

    Bruh bruhhhh ITS BEEN 2 WHOLE DAYS...TWOOOO!!!!!!!!!! And this gentleman made me understand Rational inequalities in just under a minute.

  • @blitzkri3g187
    @blitzkri3g187 ปีที่แล้ว

    Everytime I forget it, I just go back to this video, thx dude

  • @JohnDas7764
    @JohnDas7764 ปีที่แล้ว +2

    Thank You.

  • @brandonkunn
    @brandonkunn 2 ปีที่แล้ว +1

    I love you mister chemistry tutor

  • @nandikamukherjee6578
    @nandikamukherjee6578 2 ปีที่แล้ว +1

    its amazing that you have a video on every topic i could possibly need help with!!

  • @Stephraxia
    @Stephraxia 11 หลายเดือนก่อน +1

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

  • @chicken3829
    @chicken3829 ปีที่แล้ว +2

    Doing Gods work 🙏🏻🙏🏻

  • @celestecaraang8022
    @celestecaraang8022 ปีที่แล้ว +1

    thank you po!! wish me luck!!

  • @iamradioactive
    @iamradioactive 4 ปีที่แล้ว +2

    Simple, straight-forward Explanation GREAT 👍👏😊!

    • @ThomaqszRBLX
      @ThomaqszRBLX 2 ปีที่แล้ว

      Grape

    • @iamradioactive
      @iamradioactive 2 ปีที่แล้ว +1

      @@ThomaqszRBLX what?

    • @ThomaqszRBLX
      @ThomaqszRBLX 2 ปีที่แล้ว

      @@iamradioactive oh its the meme lol dw

    • @breh738
      @breh738 11 หลายเดือนก่อน +1

      ​@@ThomaqszRBLX💀🙏

  • @rellianbaja3924
    @rellianbaja3924 3 ปีที่แล้ว

    I will follow you till the end your the best at giving math examples that are really hard.

  • @mulimamuhau
    @mulimamuhau 2 หลายเดือนก่อน

    Best tutor of all time

  • @idunno6367
    @idunno6367 3 ปีที่แล้ว

    this man be saving lives

  • @sinclaire6076
    @sinclaire6076 2 ปีที่แล้ว +1

    He's my teacher!

  • @allanaziz216
    @allanaziz216 3 ปีที่แล้ว +10

    Pre-Cal Gang rise up

  • @4u470
    @4u470 9 หลายเดือนก่อน

    your videos are my saving grace for college entrance exams

  • @marisolrubalcava7632
    @marisolrubalcava7632 4 ปีที่แล้ว

    Best math teacher hands down

  • @cowboycody8094
    @cowboycody8094 4 ปีที่แล้ว +2

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

  • @ttttakahashi
    @ttttakahashi 3 ปีที่แล้ว

    Man....I LOVE YOUR VIDS....YOU DESERVE MORE SUBS AND VIEWS!!... THANKS FOR THE EXAMPLES!!..YOU MADE ME UNDERSTAND IT MORE THAN MY MODULAR LESSONS DO....KEEP UP THE GOOD WORK!

  • @carltommyambowang8633
    @carltommyambowang8633 3 ปีที่แล้ว +1

    You have been a great help to me since before up until now, you deserve a great reward man!!

  • @chimeremezerolandaliche8282
    @chimeremezerolandaliche8282 2 ปีที่แล้ว

    I cant express joy betterin text..your my hero

  • @mayanksingh1345
    @mayanksingh1345 4 ปีที่แล้ว

    Thank you brother you solved my basic maths easily.. I am preparing for a national level competitive exam and your video solved my problem... Thanks so much💓💓💓💓

  • @mahraahmad827
    @mahraahmad827 3 ปีที่แล้ว

    I dont know what to say but i really thank you for this anazing explenation. From UAE.

  • @xzas9098
    @xzas9098 2 ปีที่แล้ว +1

    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?

  • @xdozgaming3496
    @xdozgaming3496 5 หลายเดือนก่อน

    seriously not even trying to over exaggerate but this is better than my university

  • @micropie1544
    @micropie1544 5 ปีที่แล้ว +1

    Thanks to you I was able to answer on my quarter exam love ya man keep up the great work

  • @p.e.t-powerengineeringtuto424
    @p.e.t-powerengineeringtuto424 3 ปีที่แล้ว +1

    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

  • @plaiapitchaya7419
    @plaiapitchaya7419 4 ปีที่แล้ว +1

    This makes me understand the lesson better 😭 You just save my life!! Thank you 😊💖✨

  • @xairenexaija5621
    @xairenexaija5621 3 ปีที่แล้ว +2

    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

  • @fcrhana
    @fcrhana 2 ปีที่แล้ว +1

    thanks man you're awesome

  • @cesarmelendez2577
    @cesarmelendez2577 4 ปีที่แล้ว

    Best channel on TH-cam.

  • @kedisangselelo1313
    @kedisangselelo1313 2 ปีที่แล้ว

    The way you teaches it makes math easy for me 🙏🙏🙏🤝

  • @NickSellsMonmouth
    @NickSellsMonmouth 3 ปีที่แล้ว +5

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

    • @cow9845
      @cow9845 หลายเดือนก่อน

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

  • @amirkontar7629
    @amirkontar7629 3 ปีที่แล้ว +1

    Thanks man thats really helpful , u really made me succeed in my math exam 😅👏👏👏

  • @pillowyflunky9931
    @pillowyflunky9931 ปีที่แล้ว +2

    thank you sir

  • @hnn1335
    @hnn1335 3 ปีที่แล้ว

    thank you. i always come back for this explanation.

  • @bhavitjain7329
    @bhavitjain7329 3 ปีที่แล้ว

    Thanks you for teaching me other way to solve these inequalities

  • @sanjayanitha7267
    @sanjayanitha7267 ปีที่แล้ว +1

    He is a legend btw…

  • @abhigyansrivastava4247
    @abhigyansrivastava4247 5 หลายเดือนก่อน

    This helped me so much to build my skills!!! THANKS

  • @Jay-os3or
    @Jay-os3or 3 ปีที่แล้ว

    Thanks again i learn alot hope i pass my test

  • @gailvaldez7385
    @gailvaldez7385 3 ปีที่แล้ว +2

    All I can say is. Thank you😭 You made the whole module made sense by just a minute😭

  • @lazuli9381
    @lazuli9381 4 ปีที่แล้ว

    Nice video. I speed it up 2x but still understand the whole process. Cool. Thanks

  • @ellaskyut2418
    @ellaskyut2418 3 ปีที่แล้ว

    Man I cant even get started with this, our math teacher was plotting dots here and there and proceeding with the signs table without giving context about the number line so I got confused, and from that point on I didnt understand anything on what was happening so I just left class feeling like a piece of dumb sht. I never really comment on vids like this but I'm super thankful rn to the point that I'm typing this out. Thank you. So. Freaking. Much.

  • @mapalochime8204
    @mapalochime8204 ปีที่แล้ว +1

    Much appreciated sir

  • @blackalice8331
    @blackalice8331 ปีที่แล้ว

    I love you organic chemistry teacher❤❤❤

  • @maryaklara2397
    @maryaklara2397 4 ปีที่แล้ว +2

    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
      @neonskie7008 2 ปีที่แล้ว

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

  • @mahdighajar3163
    @mahdighajar3163 ปีที่แล้ว +2

    I actually love u

  • @truck-kun2930
    @truck-kun2930 3 ปีที่แล้ว

    Thanks bro ur better than my teacher

  • @monufinau8273
    @monufinau8273 ปีที่แล้ว

    This helped me with my midterms