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 a solid red dot at -3, and the left part is bolded, indicating that the values of x are less than or equal to -3.

2. On the right side of the number line, there is open red dot at 4, and the right part is bolded, indicating that the values of x are greater than 4.

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 th...