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).

The graph displays two different parts of the number line:

1. On the left side of the number line, there is an open red circle at -2, and the left part is bolded, indicating that the values of x is less than -2.

2. On the right side of the number line, there is a solid dot at 3, and the right part is bolded, indicating that the values of x are greater than or equal to 3.

Based on this information, we can see that this is a compound inequality connected by "or" because the solution sets on the number line are separate, indicating that the values of x can be i...