zatspeed wrote:
if |x| |y| and xy < 0, which of the following must be true?
A) xy^2 >0
B) x^2y > 0
C) x + y = 0
D) x/y + 1 = 2
E) 1/x +1/y = 1/2
I am assuming the question is
"If |x| = |y| and xy < 0, which of the following must be true?"
The absolute values of x and y should be the same. But one of x and y should be negative and the other should be positive so that xy < 0.
Put x = 1, y = -1 and then x = -1, y = 1 in the options to see which holds since the correct option should hold for all appropriate values of x and y.
A) xy^2 >0
Will not hold for x = -1, y = 1
B) x^2y > 0
Will not hold for x = 1, y = -1
C) x + y = 0
Will hold for both. Hold it.
D) x/y + 1 = 2
Will not hold.
E) 1/x +1/y = 1/2
Will not hold.
Answer (C)
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