Chapter 5: Q14. (page 329)

Graph the solution set for the inequality $3 x - 6 \leq 4 x - 4 \leq 3 x + 1$

Short Answer

Expert verified

The graph of the solution set for the inequality $3 x - 6 \leq 4 x - 4 \leq 3 x + 1$ is:

Step by step solution

Step1. Given

$3 x - 6 \leq 4 x - 4 \leq 3 x + 1$

Step2. Solve the inequality.

Solve the inequality $3 x - 6 \leq 4 x - 4 \leq 3 x + 1$

$\begin{matrix} 3 x - 6 \leq 4 x - 4 \leq 3 x + 1 \\ 3 x - 6 + 4 \leq 4 x - 4 + 4 \leq 3 x + 1 + 4 \\ 3 x - 2 \leq 4 x \leq 3 x + 5 \\ 3 x - 2 - 3 x \leq 4 x - 3 x \leq 3 x + 5 - 3 x \\ 3 x - 3 x - 2 \leq x \leq 3 x - 3 x + 5 \\ - 2 \leq x \leq 5 \\ x \in [- 2, 5] \end{matrix}$

Therefore, the solution set for the inequality $3 x - 6 \leq 4 x - 4 \leq 3 x + 1$ is $x \in [- 2, 5]$

Step3. Graph the solution set for the inequality 3x−6≤4x−4≤3x+1

The solution set for the inequality $3 x - 6 \leq 4 x - 4 \leq 3 x + 1$ is $x \in [- 2, 5]$ . Therefore, the graph of the solution set for the inequality $3 x - 6 \leq 4 x - 4 \leq 3 x + 1$ is:

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Graph the solution set for the inequality $3 x - 6 \leq 4 x - 4 \leq 3 x + 1$

Short Answer

Step by step solution

Step1. Given

Step2. Solve the inequality.

Step3. Graph the solution set for the inequality 3x−6≤4x−4≤3x+1

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Graph the solution set for the inequality3x−6≤4x−4≤3x+1

Short Answer

Step by step solution

Step1. Given

Step2. Solve the inequality.

Step3. Graph the solution set for the inequality 3x−6≤4x−4≤3x+1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Mechanics Maths

Probability and Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Graph the solution set for the inequality $3 x - 6 \leq 4 x - 4 \leq 3 x + 1$