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 reading of the number line, a closed dot indicates that the value is included, while an open circle indicates that the value is not included in the interval.

In the given graph, we see a number line that marks the interval from -2 to 2. This interval includes 2 (represented by a closed dot) and excludes -2 (represented by an open circle). This means that the value of x can be equal to 2 but not equal to -2, and it can take any number between -2 and 2.

Let's analyze the given options: