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X,Y,Z & Inequalities

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Intern
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X,Y,Z & Inequalities [#permalink]

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New post 20 Jul 2009, 01:12
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A
B
C
D
E

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Good day ppl,

Some help needed.

If x, y, and z are three integers, are they consecutive integers?
(1) z – x = 2
(2) x < y < z

Please provide detailed explanations if possible. Thanks alot!

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Senior Manager
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Joined: 23 Jun 2009
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Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Re: X,Y,Z & Inequalities [#permalink]

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New post 20 Jul 2009, 03:09
C.
If z-x = 2 and x<y<z and x,y,z are integers. There will be only one possibility => y-x=z-y=1 ;)
1 is insuff because we do not know the order of y
2 is insuff because we do not know the differences between (x and y) and (y and z)

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Intern
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Re: X,Y,Z & Inequalities [#permalink]

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New post 20 Jul 2009, 07:06
This is how I would approach it.

the info given to us: x,y,z are integers
the question: are x,y,z consecutive?
the underlying question: do x,y,z all differ by one?

stmt 1:
- rewrite as z=x+2
- we now know that x is 2 larger than z
- but still not suff, eliminate D & A

stmt 2:
-x<y<z just tell us the relation ship among all three
-x is larger than y, could be by only 1, but also by more
-not suff, eliminate B

both stmt together:
-using z=x+2 and x<y<z
-rewrite as x<y<x+2
-you can now infer (since we're dealing with integers) that we now have x<x+1<x+2
-answer is C

Hope this helps, shoot me an email if you have any questions. Good Luck!

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Re: X,Y,Z & Inequalities [#permalink]

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New post 23 Jul 2009, 08:19
Understood, thanks alot ppl~

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Re: X,Y,Z & Inequalities   [#permalink] 23 Jul 2009, 08:19
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