Chapter A.9, Problem 91AYU

To determine

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

Answer to Problem 91AYU

$\left\{x|x < - 4 or x > 4\right\}$ or $\left(-\infty , 4\right) \cup \left(4, \infty \right)$

Explanation of Solution

Given:

$\left|3x\right| > 12$

Calculation:

$\left|3x\right| > 12$

$3x < - 12$ or $3x > 12$

Divide by 3

$x < - 4$ or $x > 4$

The solution set is $\left\{x|x < - 4 or x > 4\right\}$ or using interval notation, all numbers in the interval $\left(-\infty , 4\right) \cup \left(4, \infty \right)$.