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

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

by BTGmoderatorDC » Mon Jan 17, 2022 6:17 pm

00:00

A

B

C

D

E

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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 [email protected] » 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