Question

What is the solution set for

2|x -3| = 12?
A) No solution
B) {-9,9}
C) (-3,9)
D) {-9,3)

Answer 1

Answer: C. (-3, 9)

Explanation:

Given

2|x-3|=12

Divide both sides by 2

2|x-3|/2=12/2

|x-3|=6

Take of absolute value sign (REMEMBER need to take into consideration of two conditions)

x-3=±6

1)x-3=6

x=9

2)x-3=-6

x=-3

**NOTE**: need to check each solution whether or not they are suitable

Hope this helps!! :)

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