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# Is x < y ? (1) z + 1 < y (2) z > x

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Math Expert
Joined: 02 Sep 2009
Posts: 52295
Is x < y ? (1) z + 1 < y (2) z > x  [#permalink]

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30 Jan 2017, 09:49
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:02) correct 17% (01:11) wrong based on 99 sessions

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Is x < y ?

(1) z + 1 < y
(2) z > x

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VP
Joined: 05 Mar 2015
Posts: 1003
Re: Is x < y ? (1) z + 1 < y (2) z > x  [#permalink]

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31 Jan 2017, 06:46
1
Bunuel wrote:
Is x < y ?

(1) z + 1 < y
(2) z > x

(1) insuff ..no info on x
(2) insuff ..no info on y

combining
subtract both to get
1<y-x
1+x<y
thus x<y
suff

Ans C
CEO
Joined: 11 Sep 2015
Posts: 3341
Is x < y ? (1) z + 1 < y (2) z > x  [#permalink]

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31 Jan 2017, 12:40
Top Contributor
1
Bunuel wrote:
Is x < y ?

(1) z + 1 < y
(2) z > x

Target question: Is x < y ?

Statement 1: z + 1 < y
Without any information about x, it's impossible answer the target question with certainty.
So, statement 1 is NOT SUFFICIENT

Statement 2: z > x
Without any information about y, it's impossible answer the target question with certainty.
So, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that z + 1 < y
Statement 2 tells us that x < z
To COMBINE these inequalities, recognize that z < z + 1
So, we can write: x < z < z + 1 < y
If we ignore the part in the middle, we can conclude that x < y
Since we can answer the target question with certainty, the combined statements are SUFFICIENT

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Re: Is x < y ? (1) z + 1 < y (2) z > x  [#permalink]

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10 Feb 2018, 05:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is x < y ? (1) z + 1 < y (2) z > x &nbs [#permalink] 10 Feb 2018, 05:51
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