Question

Which of the following is the solution to 3 |x-1|212?

A. xs-3 or x 25
B. X25
C. XS-3 and x 25
D. x2-3 or x 25

Answer 1

To solve the inequality 3 |x-1| ≥ 12, divide by 3 to get |x - 1| ≥ 4. This leads to two scenarios, x ≥ 5 or x ≤ -3, which means the solution is D. x ≥ 5 or x ≤ -3.

Step-by-step explanation:

The question appears to be asking for the solution to an inequality involving absolute values (3 |x-1| ≥ 12), but the question is not clearly written, and the options provided are also not clear. We'll assume that the actual question is to solve the inequality 3 |x-1| ≥ 12.

First, divide both sides by 3 to isolate the absolute value:

|x - 1| ≥ 4.

The absolute value inequality ≥ indicates two possible scenarios:

1. x - 1 ≥ 4
2. x - 1 ≤ -4

Solving the first scenario:

x ≥ 4 + 1

x ≥ 5

Solving the second scenario:

x ≤ -4 + 1

x ≤ -3

The solutions to the inequality are:

x ≥ 5 or x ≤ -3

Thus, based on the given options, the correct answer would be D. x ≥ 5 or x ≤ -3.