Question

Choose the correct description of the graph of the inequality x - 3 >= 5.

A. Open circle on 8, shading to the left.
B. Closed circle on 8, shading to the left.
C. Open circle on 8, shading to the right.
D. Closed circle on 8, shading to the right.

Answer 1

The correct answer is:

D) Closed circle on 8, shading to the right.

Explanation:

First we must solve the inequality:

x - 3 ≥ 5

Add 3 to each side:

x - 3 + 3 ≥ 5 + 3

x ≥ 8

To graph this, we want a circle on 8 Since it is "greater than or equal to," 8 is included in the solution set. This means the circle will be closed.

Since it is "greater than," we want the numbers to the right of 8 on the number line.

This means the inequality will be a closed circle and shaded to the right.