Chapter 5: Q9. (page 329)

Record your answers on the answer sheet provided by your teacher or on a sheet of paper.
Question: Solve $- 4 < 3 x + 8 \leq 23$

Short Answer

Expert verified

The solution of the given compound inequality $- 4 < 3 x + 8 \leq 23$ is $x \in (- 4, 5]$

Step by step solution

Step 1. Solve the given compound inequality −4<3x+8≤23

The solution of the given compound inequality $- 4 < 3 x + 8 \leq 23$ is:

$\begin{matrix} - 4 < 3 x + 8 \leq 23 \\ - 4 - 8 < 3 x + 8 - 8 \leq 23 - 8 \\ - 12 < 3 x \leq 15 \\ \frac{- 12}{3} < \frac{3 x}{3} \leq \frac{15}{3} \\ - 4 < x \leq 5 \end{matrix}$

Step 2. Write the solution of the given compound inequality −4<3x+8≤23.

The solution in interval notation is $x \in (- 4, 5]$

Therefore, the solution of the compound inequality $- 4 < 3 x + 8 \leq 23$ is $x \in (- 4, 5]$

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Record your answers on the answer sheet provided by your teacher or on a sheet of paper.
Question: Solve $- 4 < 3 x + 8 \leq 23$

Short Answer

Step by step solution

Step 1. Solve the given compound inequality −4<3x+8≤23

Step 2. Write the solution of the given compound inequality −4<3x+8≤23.

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Record your answers on the answer sheet provided by your teacher or on a sheet of paper.Question: Solve−4<3x+8≤23

Short Answer

Step by step solution

Step 1. Solve the given compound inequality −4<3x+8≤23

Step 2. Write the solution of the given compound inequality −4<3x+8≤23.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Applied Mathematics

Decision Maths

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Record your answers on the answer sheet provided by your teacher or on a sheet of paper.
Question: Solve $- 4 < 3 x + 8 \leq 23$