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If x < y, which of the following must be true?

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by BTGmoderatorDC » Mon Jan 17, 2022 6:17 pm
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If x < y, which of the following must be true?

(A) x < y^2
(B) x^2 < y
(C) x^2 < y^2
(D) (x – y)^2 > 0
(E) x^3 > y



OA D

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Re: If x < y, which of the following must be true?

by Brent@GMATPrepNow » Wed Jan 19, 2022 9:44 am
BTGmoderatorDC wrote: ↑
Mon Jan 17, 2022 6:17 pm
 If x < y, which of the following must be true?

(A) x < y^2
(B) x^2 < y
(C) x^2 < y^2
(D) (x – y)^2 > 0
(E) x^3 > y

If x < y, then we can also conclude that x ≠ y.
If x ≠ y, then we can be certain that x - y ≠ 0
If x - y ≠ 0, then we can be certain that (x – y)^2 > 0

Answer: D

ASIDE: Another approach would be to take values that satisfy the inequality x < y, and plug them into each answer choice until we eventually eliminate all answer choices other than D.
I'll leave that to you...
Brent Hanneson - Creator of GMATPrepNow.com
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