Question

solve the compound inequality. -8<2x + 4<16 graph the solution on the number line.

Explanation:

Step1: Subtract 4 from all parts

$-8 - 4<2x + 4-4<16 - 4$
$-12<2x<12$

Step2: Divide all parts by 2

$\frac{-12}{2}<\frac{2x}{2}<\frac{12}{2}$
$-6 < x<6$

Answer:

The solution of the compound - inequality is $-6 < x<6$. On the number - line, we use open circles at $x = - 6$ and $x = 6$ and shade the region between them.