Chapter A.9, Problem 61AYU

To determine

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

Answer to Problem 61AYU

$\left\{x\right|x > -7\}$ or $(-7,\infty )$

Explanation of Solution

Given:

$-2(x + 3) < 8$

Calculation:

$-2(x + 3) < 8$

$\frac{-2(x + 3)}{-2} > \frac{8}{-2}$   -----(Divide $-2$ on both sides)

$x + 3 > -4$

$x + 3 - 3 > -4 - 3$ (Subtract $x$ on both sides)

$x > -7$

The solution set is $\left\{x\right|x > -7\}$ or using interval notation, all numbers in the interval $(-7,\infty )$