which number line represents the solutions to |-2x| = 4?\n-10 -8 -6 -4 -2 0 2 4 6 8 10\n-10 -8 -6 -4 -2 0 2…

which number line represents the solutions to |-2x| = 4?\n-10 -8 -6 -4 -2 0 2 4 6 8 10\n-10 -8 -6 -4 -2 0 2 4 6 8 10\n-10 -8 -6 -4 -2 0 2 4 6 8 10\n-10 -8 -6 -4 -2 0 2 4 6 8 10

which number line represents the solutions to |-2x| = 4?\n-10 -8 -6 -4 -2 0 2 4 6 8 10\n-10 -8 -6 -4 -2 0 2 4 6 8 10\n-10 -8 -6 -4 -2 0 2 4 6 8 10\n-10 -8 -6 -4 -2 0 2 4 6 8 10

Answer

Explanation:

Step1: Solve the absolute - value equation

Given (|-2x| = 4). By the definition of absolute value, if (|a|=b) ((b\geq0)), then (a = b) or (a=-b). So, (-2x = 4) or (-2x=-4).

Step2: Solve (-2x = 4)

Divide both sides of the equation (-2x = 4) by (-2). We get (x=\frac{4}{-2}=-2).

Step3: Solve (-2x=-4)

Divide both sides of the equation (-2x=-4) by (-2). We get (x = \frac{-4}{-2}=2).

Step4: Identify the number - line representation

The solutions (x = 2) and (x=-2) are represented by points at (2) and (-2) on the number - line.

Answer:

The number - line with points at (-2) and (2) (the third option in the given list, as the points are at (-2) and (2) on the number - line).