Chapter A.9, Problem 56AYU

To determine

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

Answer to Problem 56AYU

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

Explanation of Solution

Given:

$2 - 3x \le 5$

Calculation:

$2 - 3x \le 5$

$2 - 3x-2 \le 5 - 2$ (Subtract $2$ on both sides)

$-3x \le 3$

$\frac{-3x}{-3} \ge \frac{3}{-3}$   (Divide $-3$ 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 $[-1,\infty )$