Question

isolate the variable to solve 4x + 4 > -20. which number line shows the solution set?

Explanation:

Step1: Subtract 4 from both sides

$4x+4 - 4>-20 - 4$
$4x>-24$

Step2: Divide both sides by 4

$\frac{4x}{4}>\frac{-24}{4}$
$x > - 6$

The solution set on the number - line is all the points to the right of - 6, with an open circle at - 6 (since the inequality is strict, $x$ cannot equal - 6).

Answer:

The number - line with an open circle at - 6 and shading to the right.