Solving Rational Inequalities

How to Solve Rational Inequalities. We use factoring and sign analysis in these examples in this free math video tutorial by Mario's Math Tutoring.

0:06 Introductory Example Solving a Quadratic Inequality
0:43 Sign Analysis Using Intervals and Test Values
1:30 Writing the Solution in Interval Notation
1:56 Rational Inequality Example 1
2:00 First Step is to Factor & Set Factors = 0
2:15 Plot Solutions on the Number Line from Low to High
2:33 Plotting Points as Closed or Open
3:11 Test Intervals with Test Values Using Sign Analysis
4:00 Writing Solution in Interval Notation
4:34 Example 2 of Rational Inequalities
4:36 Get All the Terms on One Side of the Inequality and Set to Zero
4:53 Combine Terms Into 1 Fraction by Getting a Common Denominator
5:37 Set Factors in the Numerator and Denominator = 0 and Plot on Number Line
5:53 Deciding whether the Intercepts are Open or Closed
6:15 Testing Intervals and Using Sign Analysis
6:45 Writing the Solution in Interval Notation

Related Videos:

Solving Quadratic Inequalities Using Sign Analysis
   • Solving Quadratic Inequalities Using ...  

Graphing Rational Equations Playlist:
   • Graphing Rational Functions  

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