Question

which compound inequality describes the graph?
a. $7 \leq x < 9$
b. $x > 7$ or $x \leq 9$
c. $9 \leq x < 7$
d. $7 < x \leq 9$

Explanation:

Step1: Analyze the open circle at 7

An open circle at 7 means 7 is not included, so $x > 7$.

Step2: Analyze the closed circle at 9

A closed circle at 9 means 9 is included, so $x \leq 9$.

Step3: Combine the inequalities

The shaded region is between 7 and 9, so combine the two conditions.

Answer:

D. $7 < x \leq 9$