Chapter A.9, Problem 55AYU

To determine

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

Answer to Problem 55AYU

$\left\{x\right|x \ge -1\}$ or $[-1,\infty )$

Explanation of Solution

Given:

$1 - 2x \le 3$

Calculation:

$1 - 2x \le 3$

$1 - 2x-1 \le 3 - 1$(Subtract $1$ on both sides)

$-2x \le 2$

$\frac{-2x}{-2} \ge \frac{2}{-2}$(Divide $-2$ on both sides)

$x \ge -1$

The solution set is $\left\{x\right|x \ge -1\}$ or using interval notation, all numbers in the interval $[-1,\infty )$