The problem has been transcribed incorrectly.
It should read as follows:
If x and y are negative numbers, what is the value of (√x²)/x − √(-y|y|)?
A) 1+y
B) 1−y
C) −1−y
D) y−1
E) x-y
Let x=-3 and y=-2.
Plugging these values into (√x²)/x − √(-y|y|), we get:
(√9)/(-3) − √(2|-2|) = 3/-3 - √4 = -1 - 2 = -3.
The target value is -3.
Now y=-2 into the answers to see which yields -3.
Only
D works:
y-1 = -2-1 = -3.
The correct answer is
D.
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