Question

write a compound inequality for the graph shown below. use x for your variable. the compound inequality for the graph is \boxed{}.

Explanation:

Step1: Analyze the open circle at -3

An open circle at -3 means the solution does not include -3, so we use the inequality \( x > -3 \).

Step2: Analyze the closed circle at 6

A closed circle at 6 means the solution includes 6, so we use the inequality \( x \leq 6 \).

Step3: Combine the inequalities

To form the compound inequality, we combine these two inequalities since the graph shows the values between -3 (not including -3) and 6 (including 6). So the compound inequality is \( -3 < x \leq 6 \).

Answer:

\( -3 < x \leq 6 \)