Chapter 2: Q65. (page 74)

Solve each inequality. (Lessons 1-5 and 1-6)
65. $5 < 2 x + 7 < 13$

Short Answer

Expert verified

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

Step by step solution

– State the concept

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

– List the given data

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

– Solve the inequality

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

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

$- 2 < 2 x < 6$ (Simplify)

$\frac{- 2}{2} < \frac{2 x}{2} < \frac{6}{2}$ (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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Solve each inequality. (Lessons 1-5 and 1-6)
65. $5 < 2 x + 7 < 13$

Short Answer

Step by step solution

– State the concept

– List the given data

– Solve the inequality

One App. One Place for Learning.

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Solve each inequality. (Lessons 1-5 and 1-6)65. 5<2x+7<13

Short Answer

Step by step solution

– State the concept

– List the given data

– Solve the inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve each inequality. (Lessons 1-5 and 1-6)
65. $5 < 2 x + 7 < 13$