Solve a Rational Inequality | Solve 4x/(x-6) is less than 1 and write in interval notation
In this video we learn how to solve Solve a Rational Inequality. We solve 4x/(x-6) is less than 1 and write the solution in interval notation.
The steps we follow on how to solve a rational inequality are:
1) Write the inequality as one quotient on the left and zero on the right.
2) Determine the critical points–the points where the rational expression will be zero or undefined.
3) Use the critical points to divide the number line into intervals.
4) Test a value in each interval. Above the number line show the sign of each factor of the numerator and denominator in each interval. Below the number line show the sign of the quotient.
5) Determine the intervals where the inequality is correct. Write the solution in interval notation.
#rationalinequalities #inequalities #minutemath #algebrahelp #algebra2 #intermediatealgebra #mathhelp #onlinemathvideos #math #mathvideos #oer #openeducation #freemathvideos
Learn more on this topic:
https://minutemath.com/algebra-2/solve-rational-inequalities/
Visit our website Math Help and Math Merch:
https://minutemath.com/
Follow us for...
Tweets: https://twitter.com/minutemath
Instagram: https://www.instagram.com/minutemath/
TikTok: https://www.tiktok.com/@therealminutemath
Facebook: https://www.facebook.com/MinuteMath/
Personal Instagram: https://www.instagram.com/gannonforpresident/
Business Instagram: https://www.instagram.com/minutebusinessacademy/
CC Licensed Content, Original
Revision and Adaption. Provided by: Minute Math. License: CC BY 4.0
CC Licensed Content, Shared Previously
Marecek, L., & Mathis, A. H. (2020). Multiply and Divide Rational Expressions. In Intermediate Algebra 2e. OpenStax. https://openstax.org/books/intermediate-algebra-2e/pages/7-6-solve-rational-inequalities. License: CC BY 4.0. Access for free at https://openstax.org/books/intermediate-algebra-2e/pages/1-introduction
-
5:21
Minute Math
2 years agoSolve a Rational Inequality | Solve (x-1)/(x+3) ≥ 0 and write the solution in interval notation
38 -
4:07
Minute Math
2 years agoHow to Solve a Compound Inequality with "or" | Part 1 of 2 | Minute Math
23 -
25:58
Homeschool Math
3 years agoAlgebra 1 - Chapter 3, Lesson 3 - Solving Inequalities by Multiplying or Dividing
25 -
11:37
InDiscovery
1 month ago $0.02 earnedHow to solve systems of inequalities? Easy for beginners.
32 -
12:58
16mm Educational Films
4 months ago $0.46 earnedAlgebra: Solving Equations & Inequalities
1431 -
19:44
Homeschool Math
3 years agoAlgebra 1 - Chapter 3, Lesson 2 - Solving Inequalities by Adding or Subtracting
23 -
29:14
The Pi Man
1 year agoHow to SOLVE RATIONAL Inequalities? - It's also just applying critical points!
-
40:39
MyersMathematics
3 years agoTwo Step Inequalities- Algebra 1 Kuta Worksheet Series
22 -
1:22:44
BOOK&TABLE
3 years agoSolving Inequalities | Practice Set #1
341 -
27:41
MyersMathematics
3 years agoMulti Step Inequalities- Algebra 1 Kuta Worksheet Series
30