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

An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

Explanation:

3(8 – 4x) < 6(x – 5)

⇔ 24 - 12x < 6x - 30

⇔ 24 + 30 < 6x + 12x

⇔ 54 < 18x

⇔ 54/18< x

⇔ 3 < x