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# If w > x, y < z, and x > z, then which of the following must be true?

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Math Expert
Joined: 02 Sep 2009
Posts: 56277
If w > x, y < z, and x > z, then which of the following must be true?  [#permalink]

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06 Mar 2018, 21:49
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97% (00:50) correct 3% (00:36) wrong based on 43 sessions

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If w > x, y < z, and x > z, then which of the following must be true?

A) w > x > y > z

B) w > x > z > y

C) x > z > y > w

D) z < y < x < w

E) z < x < y < w

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Math Expert
Joined: 02 Sep 2009
Posts: 56277
Re: If w > x, y < z, and x > z, then which of the following must be true?  [#permalink]

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06 Mar 2018, 21:50
SVP
Joined: 26 Mar 2013
Posts: 2283
Re: If w > x, y < z, and x > z, then which of the following must be true?  [#permalink]

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07 Mar 2018, 10:31
Bunuel wrote:
If w > x, y < z, and x > z, then which of the following must be true?

A) w > x > y > z

B) w > x > z > y

C) x > z > y > w

D) z < y < x < w

E) z < x < y < w

Rearrange relation sin question stem as follows:

w > x > z > y

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: If w > x, y < z, and x > z, then which of the following must be true?  [#permalink]

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08 Mar 2018, 18:00
Bunuel wrote:
If w > x, y < z, and x > z, then which of the following must be true?

A) w > x > y > z

B) w > x > z > y

C) x > z > y > w

D) z < y < x < w

E) z < x < y < w

Since x > z and y < z (i.e., z > y), we see that:

x > z > y

Also, since w is greater than x, we have:

w > x > z > y

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Re: If w > x, y < z, and x > z, then which of the following must be true?   [#permalink] 08 Mar 2018, 18:00
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