Answer:
It's the graph with two dots and no area marked, first image (for me).
Explanation:
|x| = 1 means "the distance from x to the 0 point on the axis is exactly 1". There's only 2 numbers x that satisfy that condition: -1 and 1
The second and third image both show an area marked, so it cannot be the right answer, while the first image shows precisely two numbers: -1 and 1