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Chapter 5: Q14. (page 329)

Graph the solution set for the inequality3x−6≤4x−4≤3x+1

Short Answer

Expert verified

The graph of the solution set for the inequality 3x−6≤4x−4≤3x+1is:

Step by step solution

01

Step1. Given

3x−6≤4x−4≤3x+1

3x−6≤4x−4≤3x+1

02

Step2. Solve the inequality.

Solve the inequality 3x−6≤4x−4≤3x+1

3x−6≤4x−4≤3x+13x−6+4≤4x−4+4≤3x+1+43x−2≤4x≤3x+53x−2−3x≤4x−3x≤3x+5−3x3x−3x−2≤x≤3x−3x+5−2≤x≤5x∈−2,5

Therefore, the solution set for the inequality 3x−6≤4x−4≤3x+1is x∈−2,5

03

Step3. Graph the solution set for the inequality 3x−6≤4x−4≤3x+1

The solution set for the inequality 3x−6≤4x−4≤3x+1is x∈−2,5. Therefore, the graph of the solution set for the inequality 3x−6≤4x−4≤3x+1is:

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Most popular questions from this chapter

Solve each inequality. Check your solution.

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