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Chapter 2: Q65. (page 74)

Solve each inequality. (Lessons 1-5 and 1-6)

65. 5<2x+7<13

Short Answer

Expert verified

The solution of the given inequality is -1<x<3.

Step by step solution

01

– State the concept

Solving an inequality means modifying the inequality so that the variable is isolated.

02

– List the given data

The given inequality is 5<2x+7<13.

03

– Solve the inequality

5<2x+7<13 (Given inequality)

5-7<2x+7-7<13-7 (Subtract 7 from all terms of the inequality)

-2<2x<6 (Simplify)

-22<2x2<62 (Divide all the terms of the inequality by 2)

-1<x<3(Simplify)

So, the solution of the given inequality is -1<x<3.

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