Question

Determine whether the inequality is always, sometimes, or never true: 2(12x−3)−12x≤12x+12

A) Always true
B) Never true
C) Sometimes true

Answer 1

The inequality 2(12x - 3) - 12x ≤ 12x + 12 is sometimes true.

Step-by-step explanation:

To determine whether the inequality is always, sometimes, or never true, we need to simplify the expression and compare the results. Let's start by simplifying the left side of the inequality:

2(12x - 3) - 12x ≤ 12x + 12

24x - 6 - 12x ≤ 12x + 12

12x - 6 ≤ 12x + 12

Next, let's cancel out the 12x terms on both sides:

-6 ≤ 12

Since -6 is less than or equal to 12, this inequality is sometimes true.