Chapter 1: Q9. (page 44)

Solve each inequality. Graph the solution set on a number line.
$3 < d + 5 < 8$ .

Short Answer

Expert verified

The solution of inequalities is $- 2 < d < 3$ .

Step by step solution

-Write the inequality and define compound inequality

The inequality for the numbers is $3 < d + 5 < 8$ .

A compound inequality containing the word ‘and’ is true if and only if both of the inequalities are true.

– Apply the definition of a compound inequality

Write the compound inequality as follows:

$\begin{array}{l} 3 < d + 5 < 8 \\ 3 - 5 < d + 5 - 5 < 8 - 5 \\ - 2 < d < 3 \end{array}$

Therefore, the solution of each inequality is $- 2 < d$ and $d < 3$ .

– Graph of the solution set

The graph for the inequality $- 2 < d < 3$ is as shown below

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Solve each inequality. Graph the solution set on a number line.
$3 < d + 5 < 8$ .

Short Answer

Step by step solution

-Write the inequality and define compound inequality

– Apply the definition of a compound inequality

– Graph of the solution set

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Solve each inequality. Graph the solution set on a number line.3<d+5<8.

Short Answer

Step by step solution

-Write the inequality and define compound inequality

– Apply the definition of a compound inequality

– Graph of the solution set

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Statistics

Study anywhere. Anytime. Across all devices.

Solve each inequality. Graph the solution set on a number line.
$3 < d + 5 < 8$ .