Algebra-1

Compound inequalities are expressions composed of two or more inequalities connected by the words "and" or "or." On a number line, when the inequalities are connected by "and," it represents the intersection of the solution sets of the two inequalities (i.e., the part where both conditions are satisfied). When the inequalities are connected by "or," it represents the union of the solution sets of the two inequalities (i.e., all the parts that satisfy either condition).

In the provided graph, the number line displays a closed interval from -2 to 2. Both ends of this interval are closed dots, indicating that -2 and 2 are included.

Now, let's analyze the given options:
A. -2 ≤ x ≤ 2
B. -2 ≥ x ≥ 2
C. 2 < x < -2
D. -2 > x > 2

Option A states that x is greater than or equal to -2 and less than or equal to 2, which precisely matches the representation in the image, indicating that the value...