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 given graph, the number line displays an closed interval from 2 to 4. Both ends of this interval are represented by closed circles, indicating that 2 and 4 are included.

Now, let's analyze the provided options:
A. x > 2 and x < 4
B. 2 ≤ x ≤ 4
C. x > 2 or x < 4
D...