Chapter 5: Q. 13 PT (page 325)

Solve each compound inequality. Then graph the solution set.
$- 11 \leq 2 h - 5 \leq 13$

Short Answer

Expert verified

The solution of the given compound inequality $- 11 \leq 2 h - 5 \leq 13$ is $h \in [- 3, 9]$ .

The graph of the solution set which is $h \in [- 3, 9]$ is:

Step by step solution

Step 1. Solve the given compound inequality −11≤2h−5≤13.

The solution of the given compound inequality $- 11 \leq 2 h - 5 \leq 13$ is:

$\begin{matrix} - 11 \leq 2 h - 5 \leq 13 \\ - 11 + 5 \leq 2 h - 5 + 5 \leq 13 + 5 \\ - 6 \leq 2 h \leq 18 \\ \frac{- 6}{2} \leq \frac{2 h}{2} \leq \frac{18}{2} \\ - 3 \leq h \leq 9 \\ h \in [- 3, 9] \end{matrix}$

Therefore, the solution of the compound inequality $- 11 \leq 2 h - 5 \leq 13$ is $h \in [- 3, 9]$ .

Step 2. Draw the graph of the solution set which is h∈[−3,9].

The graph of the solution set which is $h \in [- 3, 9]$ is:

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Solve each compound inequality. Then graph the solution set.
$- 11 \leq 2 h - 5 \leq 13$

Short Answer

Step by step solution

Step 1. Solve the given compound inequality −11≤2h−5≤13.

Step 2. Draw the graph of the solution set which is h∈[−3,9].

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Solve each compound inequality. Then graph the solution set.−11≤2h−5≤13

Short Answer

Step by step solution

Step 1. Solve the given compound inequality −11≤2h−5≤13.

Step 2. Draw the graph of the solution set which is h∈[−3,9].

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Theoretical and Mathematical Physics

Calculus

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

Solve each compound inequality. Then graph the solution set.
$- 11 \leq 2 h - 5 \leq 13$