Chapter A.9, Problem 92AYU

To determine

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

Answer to Problem 92AYU

$\left\{x|x < - 3 or x > 3\right\}$ or $\left(-\infty , 3\right) \cup \left(3, \infty \right)$

Explanation of Solution

Given:

$\left|2x\right| > 6$

Calculation:

$\left|2x\right| > 6$

$2x < -6$ or $2x > 6$

Divide by 3

$x < - 3$ or $x > 3$

The solution set is $\left\{x|x < - 3 or x > 3\right\}$ or using interval notation, all numbers in the interval $\left(-\infty , 3\right) \cup \left(3, \infty \right)$.