Vincen wrote: ↑Fri Jan 28, 2022 4:47 am
If \(|12x - 3| = |3x + 15|,\) what is the value of \(x?\)
(1) \(x > 0\)
(2) \(x\) is an integer
Case 1: Signs unchanged
12x-3 = 3x+15
9x = 18
x = 2
Case 2: Signs changed in ONE of the absolute values
12x-3 = -3x-15
15x = -12
x = -12/15 = -4/5
Statement 1: x > 0
Since only Case 1 is viable, x=2.
SUFFICIENT.
Statement 2: x is an integer
Since only Case 1 is viable, x=2.
SUFFICIENT.
The correct answer is
D.
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