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

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MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1372
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
If x > y and (x -1)^2 < (y -1)^2, which of the following inequalities  [#permalink]

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01 Dec 2018, 09:23
00:00

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

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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Intern
Joined: 07 Jun 2018
Posts: 11
If x > y and (x -1)^2 < (y -1)^2, which of the following inequalities  [#permalink]

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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
Manager
Joined: 28 Jun 2018
Posts: 59
Re: If x > y and (x -1)^2 < (y -1)^2, which of the following inequalities  [#permalink]

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04 Dec 2018, 09:34
Can someone explain how C is wrong?
Manager
Joined: 14 Jun 2018
Posts: 212
Re: If x > y and (x -1)^2 < (y -1)^2, which of the following inequalities  [#permalink]

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

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

x > y
$$x^2$$ > $$y^2$$
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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