which number line represents the solutions to |-2x| = 4?

Explanation:

Step1: Recall absolute - value property

The equation (|-2x| = 4) implies (-2x=4) or (-2x = - 4).

Step2: Solve (-2x = 4)

Divide both sides by (-2): (x=\frac{4}{-2}=-2).

Step3: Solve (-2x=-4)

Divide both sides by (-2): (x = \frac{-4}{-2}=2).

Answer:

The number line with points at (x = - 2) and (x = 2) (the third option from the top as the points are placed at -2 and 2 on the number - line).