BTGmoderatorDC wrote:What is the value of x?
(1) |y| ≤ −3x
(2) |5x − 1| = x + 7
We have to determine the value of x.
Let's take each statement one by one.
(1) |y| ≤ −3x
Since |y| is a non-negative number and −3x is greater than |y|, −3x must also be a non-negative number. For that to happen x ≤ 0, or x must be a non-positive number. But we can't get the value of x. Insufficient.
(2) |5x − 1| = x + 7
Case 1: 5x − 1 = x + 7 => x = 2
Case 2: -5x + 1 = x + 7 => x = -1
No unique value of x. Insufficient.
(1) and (2) together
Since from (1), we know that x is a non-positive number, x cannot be 2, thus x = -1. Sufficient.
The correct answer:
C
Hope this helps!
-Jay
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