Rational Inequalities

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...
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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-tutor.net/
Full-Length Videos and Worksheets:
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[@TheOrganicChemistryTutor]

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

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

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

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literally me

[@ayomideadejimi1192]

Explain please

[@skibidibiden69]

@@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

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He made a mistake on the last example so be careful

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i can relate

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

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@@jerald9922 because they're not including 3, so it's an open circle.

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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.

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Pre-Calculus 1st exam tomorrow...
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[@adinfinitum5739]

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

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[@sushi9478]

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

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

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what do you do if you have an x2 in your denominator or numerator

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Me

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can you elaborate on the difference of open and close circle?

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Sir plz make videos on straight lines and pair of straight lines.. plzzz

[@flyppy196]

Do you know how to solve this type of inequalities, when we have for example [-3(x-3)]/x+2? I am wondering if negative number next to the parenthesis changes how you act on this axis. (sry for my english ;))

[@ellaskyut2418]

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.

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[@maryaklara2397]

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]

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

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