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Chapter 5: Q32. (page 324)

Solve each compound inequality. Then graph the solution set.

−4<2t−6<8

Short Answer

Expert verified

The solution of the given compound inequality −4<2t−6<8is t∈1,7.

The graph of the solution set which is t∈1,7is:

Step by step solution

01

Step 1. Solve the given compound inequality −4<2t−6<8.

The solution of the given compound inequality−4<2t−6<8 is:

−4<2t−6<8−4+6<2t−6+6<8+62<2t<1422<2t2<1421<t<7

Therefore, the solution of the compound inequality−4<2t−6<8 is t∈1,7.

02

Step 2. Draw the graph of the solution set which is t∈1,7.

The graph of the solution set which ist∈1,7 is:

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Most popular questions from this chapter

Record your answers on a sheet of paper. Show your work.

Theresa is saving money for a vacation. She needs to save at least \(640 to pay for her expenses. Each week, she puts 19 \)35towards her vacation savings.

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