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 open interval from -3 to 1. Both ends of this interval are represented by open circles, indicating that -3 and 1 are not included.

Now, let's analyze the provided options:
A. x > -3 or x > 1
B. x < -3 or x < 1
C. x ≥ 3 and x ≤ 1
D. x > -3 and x < 1

Option A states that x is greater than -3 or greater than 1, which on the number line should be represented as two s...