Question

1. which set of numbers only contains solutions to the inequality?

3x ≥ 18
(3,4,5)
(5,6,7)
(6,7,8)
(4,5,6)

1. which of the following is a solution to the inequality shown below?

choose all that apply.

Explanation:

Step1: Solve the inequality

To solve \( 3x \geq 18 \), divide both sides by 3: \( x \geq \frac{18}{3}=6 \). So \( x \) must be greater than or equal to 6.

Step2: Check each set

• For \( (3,4,5) \): All numbers are less than 6, not solutions.
• For \( (5,6,7) \): 5 is less than 6, not a solution.
• For \( (6,7,8) \): 6, 7, 8 are all \( \geq 6 \), valid.
• For \( (4,5,6) \): 4 and 5 are less than 6, not solutions.

Answer:

(6, 7, 8)