Question

write a compound inequality for the graph shown below. use x for your variable. the compound inequality for the graph is

Explanation:

Step1: Analyze the open circle

The open circle is at -3, which means \( x > -3 \) (since the line goes to the right from -3, and open circle means not including -3).

Step2: Analyze the closed circle

The closed circle is at 0, which means \( x \leq 0 \) (since the line goes to the left from 0, and closed circle means including 0).

Step3: Combine the inequalities

We combine these two inequalities with "and" because the solution set is the overlap of the two intervals. So the compound inequality is \( -3 < x \leq 0 \).

Answer:

\( -3 < x \leq 0 \)