Question

Which number line represents the solutions to |–2x| = 4?

A number line from negative 10 to 10 in increments of 2. Two points, one at negative 4 and one at 2.
A number line from negative 10 to 10 in increments of 2. Two points, one at negative 2 and one at 4.
A number line from negative 10 to 10 in increments of 2. Two points, one at negative 2 and one at 2.
A number line from negative 10 to 10 in increments of 2. Two points, one at negative 8 and one at 8.

Answer 1

Solve |−2x| = 4: |−2x| = 2|x|, so 2|x| = 4 → |x| = 2 → x = ±2.

So the number line with points at −2 and 2 (the third option) is correct.