Question

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

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.

Answer 2

X - 3 > = 5
x > = 5 + 3
x > = 8

closed circle on 8...because of the equal sign.....shaded to the right...because of the > sign.