Question

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answer 1

Explanation:

number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

Answer 2

Solve the inequality:

• 3(8 – 4x) < 6(x – 5)
• 8 - 4x < 2(x - 5)
• 8 - 4x < 2x - 10
• 8 + 10 < 4x + 2x
• 18 < 6x
• 3 < x
• x > 3

The solution set is the space to the right from 3, where 3 is given by an open circle.

Correct choice reflecting the answer is B:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.