Solving multi step inequalities

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This document provides an overview of solving multi-step inequalities with examples of solving inequalities with variables and graphing the solution sets. It includes solving inequalities with addition, subtraction, multiplication, and division terms as well as compound inequalities. The homework assignments ask students to solve 34 multi-step inequality problems.

Solving Multi-Step Inequalities
Section 5.3 pages 298-303

𝟐 𝒉 + 𝟔 > −𝟑(𝟖 − 𝒉)
Examples: Solve the inequality and graph the solution set.

Five minus 6 times a number is more than
four times the number plus 45.

Two more than half a number is greater than
twenty-seven.

𝟗𝒕 − 𝟓(𝒕 − 𝟓) ≤ 𝟒(𝒕 − 𝟑)

𝟑 𝟒𝒎 + 𝟔 ≤ 𝟒𝟐 + 𝟔(𝟐𝒎 − 𝟒)

Homework
page 301 #12-34

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3. Five minus 6 times a number is more than four times the number plus 45.

4. Two more than half a number is greater than twenty-seven.

5. 𝟗𝒕 − 𝟓(𝒕 − 𝟓) ≤ 𝟒(𝒕 − 𝟑)

6. 𝟑 𝟒𝒎 + 𝟔 ≤ 𝟒𝟐 + 𝟔(𝟐𝒎 − 𝟒)

7. Homework page 301 #12-34