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If x > y and (x -1)^2 < (y -1)^2, which of the following inequalities

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If x > y and (x -1)^2 < (y -1)^2, which of the following inequalities  [#permalink]

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New post 01 Dec 2018, 09:23
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

35% (02:23) correct 65% (01:45) wrong based on 46 sessions

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GMATbuster's Weekly Quant Quiz#11 Ques #8


For Questions from earlier quizzes: Click Here


If \(x > y\) and \((x -1)^2 < (y -1)^2\), which of the following inequalities must be correct?


A)\(x-y > 2\)

B)\(x+y > 2\)

C)\(x^2 < y^2\)

D)\(x-y < 2\)

E) \(x+y<2\)

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If x > y and (x -1)^2 < (y -1)^2, which of the following inequalities  [#permalink]

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New post 01 Dec 2018, 09:38
1
x>y (x-1)^2 < (y-1)^2

X^2 + 1 - 2x < y^2 +1 - 2y
x^2 - 2x < y^2 - 2y
x^2 - y^2 < 2x - 2y
(x-y)(x+y) < 2(x-y)
x+y < 2

hence choice E
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Re: If x > y and (x -1)^2 < (y -1)^2, which of the following inequalities  [#permalink]

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New post 04 Dec 2018, 09:34
Can someone explain how C is wrong?
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Re: If x > y and (x -1)^2 < (y -1)^2, which of the following inequalities  [#permalink]

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New post 05 Dec 2018, 07:23
hibobotamuss wrote:
Can someone explain how C is wrong?

take x = -1/2 and y = -1/3

x > y
\(x^2\) > \(y^2\)
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Re: If x > y and (x -1)^2 < (y -1)^2, which of the following inequalities &nbs [#permalink] 05 Dec 2018, 07:23
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If x > y and (x -1)^2 < (y -1)^2, which of the following inequalities

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