Answer: See below and attached.
Explanation:
To graph the compound inequality, we will graph both x ≥ 4 and x < -7. The ≥ symbol means it will be a filled circle on 4, and the < symbol means it will be an open circle on -7.
First, we will plot both of these circles on the number line.
Next, we will shade with an arrow to the right of 4 and to the left of -7, since x is greater than or equal to 4 and less than -7.