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# If a < x < b and c < y < d, is x < y ?

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If a < x < b and c < y < d, is x < y ? [#permalink]  28 Mar 2012, 09:23
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81% (01:43) correct 18% (00:47) wrong based on 1 sessions
If a < x < b and c < y < d, is x < y ?

(1) a < c
(2) b < c.

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Re: If a < x < b and c < y < d, is x < y ? [#permalink]  28 Mar 2012, 09:54
If a < x < b and c < y < d, is x < y ?

(1) a < c --> given: a<x, c<y and a<c. Now, if a<(c<y)<x then the answer is YES but if a<x<(c<y) then the answer is NO. Not sufficient.

(2) b < c --> given: x<b, c<y and b<c, so x<(b<c)<y, which means that x<y. Sufficient.

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Re: If a < x < b and c < y < d, is x < y ?   [#permalink] 28 Mar 2012, 09:54
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