Chapter A.9, Problem 69AYU

To determine

To solve: Each inequality. Express your answer using set notation or interval notation. Graph the solution set.

Answer to Problem 69AYU

$\left\{x|3 \le x \le 5\right\}$ or $\left[3, 5\right]$

Explanation of Solution

Given:

$0 \le 2x - 6 \le 4$

Calculation:

$0 \le 2x - 6 \le 4$

$0 + 6 \le 2x - 6 + 6 \le 4 + 6$   -----(Add $6$)

$6 \le 2x \le 10$

$\frac{6}{2} \le \frac{2x}{2} \le \frac{10}{2}$   -----(Divide 2)

$3 \le x \le 5$

The solution set is $\left\{x|3 \le x \le 5\right\}$ or using interval notation, all numbers in the interval $\left[3, 5\right]$