Question

solve for x and graph the solution on the number line below. -7 ≤ 2x + 7 ≤ 31 answer attempt 1 out of 2 inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Subtract 7 from all parts

Subtract 7 from $-7$, $2x + 7$ and 31.
$-7-7\leq2x + 7-7\leq31 - 7$
$-14\leq2x\leq24$

Step2: Divide all parts by 2

Divide $-14$, $2x$ and 24 by 2.
$\frac{-14}{2}\leq\frac{2x}{2}\leq\frac{24}{2}$
$-7\leq x\leq12$

Answer:

Inequality Notation: $-7\leq x\leq12$
Number Line: Mark closed - circles at - 7 and 12 and shade the region between them on the number line.