The graph of the solution set is a single point on the number line, located at x = 2.
The given inequality is |2x - 2| ≤ 2. To describe the graph of the solution set of this inequality, we can first rewrite it as two separate inequalities:
2x - 2 ≤ 2
-(2x - 2) ≤ 2
Simplifying each inequality, we get:
2x ≤ 4
2x - 4 ≥ 0
Solving for x in each inequality, we get:
x ≤ 2
x ≥ 2
Therefore, the solution set of the inequality is the interval, which consists of a single point on the number line. This point is the intersection of the two inequalities, and it satisfies the original inequality |2x - 2| ≤ 2.
Visually, the graph of the solution set is a single point on the number line, located at x = 2.