Chapter A.9, Problem 95AYU

To determine

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

Answer to Problem 95AYU

$\left\{x|x < - 1 or x > 2\right\}$ or $\left(-\infty , - 1\right) \cup \left(2, \infty \right)$

Explanation of Solution

$\left|1 - 2x\right| > 3$

$1 - 2x < - 3$ or $1 - 2x > 3$

$1 - 2x - 1 < - 3 - 1$ or $1 - 2x - 1 > 3 - 1$

$- 2x < - 4$ or $- 2x > 2$

Divide by $- 2$

$x > 2$ or $x < - 1$

The solution set is $\left\{x|x < - 1 or x > 2\right\}$ or using interval notation, all numbers in the interval $\left(-\infty , - 1\right) \cup \left(2, \infty \right)$.