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Cycle 1 - Lesson 8 – Solving Rational Equations and Inequalities by Graphing Strategies for solving a rational equation like:

Example:

Note: We could also just graph these two functions on Desmos and see where they intersect. The points of intersection are the solutions. However, the cross-multiplying and algebra is good practice for when we do this without using Desmos at all.

MHF4U1

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Strategies for solving a rational inequality like:

Example:

Therefore the function

(The lower branch and the part of the upper branch that is to the right of 5.2)

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Cycle 1 - Lesson 8 – Practice Questions 1.

Solve by graphing to find the zeros. (first cross-multiply and move all the terms to one side)

2. Solve by graphing to find the zeros. (first cross-multiply and move all the terms to one side)

3. Solve each inequality.

ANSWERS

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