Question

solve for x and graph the solution on the number line below. 13 < -5x + 8 < 23 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Subtract 8 from all parts

$13 - 8< - 5x+8 - 8<23 - 8$
$5 < - 5x<15$

Step2: Divide all parts by - 5 and reverse the inequality signs

$\frac{5}{-5}>\frac{-5x}{-5}>\frac{15}{-5}$
$- 1>x>-3$

Answer:

Inequality Notation: $-3 < x < - 1$
(For graphing on number - line: Draw an open circle at - 3 and an open circle at - 1, and shade the region between them.)