Question

Select the correct answer.

What is the solution to 3lx + 3| = 12?
O A. x= 1
OB.
O C.
O D.
x= 1 or x = -4
x = 1 or x = -7
No solutions exist.

Answer 1

The solutions are x = 3 and x = -3, so the correct answer is Option OB) x = 1 or x = -4.

Step-by-step explanation:

The given equation is 3|x + 3| = 12.

To find the solution for x, we first subtract 3 from both sides of the equation, giving us 3|x| = 9.

Next, we divide both sides by 3 to isolate the absolute value: |x| = 3.

This absolute value equation has two possible solutions: x = 3 and x = -3, as the absolute value of both 3 and -3 is 3.

Therefore, the correct answer is x = 1 or x = -4.