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Solving Rational Inequalities | Advanced Functions

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Course
MHF4U

Institution
12th Grade

Inequalities express a relationship where one side is not equal to the other, often using symbols such as less than, less than or equal to, greater than, or greater than or equal to. They can be categorized into three main types: linear inequalities, which involve linear expressions, quadratic ineq...

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Uploaded on October 30, 2024
Number of pages 2
Written in 2024/2025
Type Class notes
Professor(s) Mr. l
Contains All classes

Institution Secondary school
Education 12th Grade
Course MHF4U
School year 1

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Solving Rational Inequalities

Solving Rational Inequalities Method 1: Graphically
Example 1) Given the following graph, can you determine 2𝑥?

What are some information you need to figure
out the solution?

Therefore, the solution to the inequality
2𝑥 is…

Example 2) Solve 5

Review: Solving Inequalities
Solving inequalities is very similar to solving simple equations.
1. Rearrange the inequality to have the variable on one side, the number on the other side
2. Isolate the variable
3. The solution is an interval on a number line

*NOTE: The main difference is: when multiplying/dividing both sides of the inequality by a negative, the
sign of the inequality must be switched to the opposite.
Try: Solve the following inequalities:
a) 4𝑥 5𝑥 9 b) 3𝑥 5 9𝑥 7 c) 𝑥 1 2

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