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Is x<y<z? 1)|x-1|<y<z+1 2)|x+1|<y<z-1

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Senior SC Moderator
Joined: 14 Nov 2016
Posts: 1314
Location: Malaysia

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19 Feb 2017, 15:46
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Difficulty:

65% (hard)

Question Stats:

56% (02:24) correct 44% (02:23) wrong based on 36 sessions

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Is $$x<y<z$$ ?

1) $$|x-1|<y<z+1$$
2) $$|x+1|<y<z-1$$

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Posts: 6984
Re: Is x<y<z? 1)|x-1|<y<z+1 2)|x+1|<y<z-1  [#permalink]

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20 Feb 2017, 03:00
Is $$x<y<z$$ ?

1) $$|x-1|<y<z+1$$
y<z+1, so y may be less than z... Example y is 3 and z is 4..
y may not be less than z, ... Example y is 3 and z is 2.5..
Insufficient

2) $$|x+1|<y<z-1$$
If y<z-1, y will surely be less than z..
Also if |x+1|<y, y is POSITIVE and will always be >x..
Ans is YES
Sufficient

B
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: Is x<y<z? 1)|x-1|<y<z+1 2)|x+1|<y<z-1 &nbs [#permalink] 20 Feb 2017, 03:00
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