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If zy<xy<0, is |x-z|+|x|=|z| [#permalink]
 26 Mar 2009, 10:53
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I think this was posted before but I can't find it. Can you please explain your answers:
If zy<xy<0, is |x-z|+|x|=|z|
1) z<x
2) y>0
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Re: DS GMAT Prep - Inequalities [#permalink]
26 Mar 2009, 12:48
If zy<xy<0, is |x-z|+|x|=|z| 1) z<x 2) y>0 we will be able to solve |x-z|+|x|=|z| if we get to know the signs of x and Z. 1) z<x , this just rephrases the given information which is not useful. No infrmation is specified regarding y , so we can not deduce the sign of x or z. INSUFFICIENT. 2)y>0 given : zy<xy<0 if y > 0 , x and z must be less than 0 also z<x<0. now we can answer the inequality . SUFFICIENT. Answer : B
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Re: DS GMAT Prep - Inequalities [#permalink]
26 Mar 2009, 13:44
I agree - Statement 2 is sufficient - so the answer is B.
What is the OA?
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Re: DS GMAT Prep - Inequalities [#permalink]
26 Mar 2009, 14:13
Sorry guys, OA is D.
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Re: DS GMAT Prep - Inequalities [#permalink]
26 Mar 2009, 14:28
Accountant wrote: I think this was posted before but I can't find it. Can you please explain your answers:
If zy<xy<0, is |x-z|+|x|=|z|
1) z<x
2) y>0 from given condition zy<xy from (1), z<x --> y is positive --> z and x, both are negative and z < x. So, simplifying the equation: LHS = |x-z|+|x| = x-z + (-x) = x-z-x = -z RHS = |z| = -z (since z<0) which implies, LHS = RHS , hence (1) is sufficient from (2) , y> 0 --> z <0, x<0. Noe proceed the same way as above, that will give us a solution. Both (1) and (2) are sufficient separately. Therefore, answer is (D).
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Re: DS GMAT Prep - Inequalities [#permalink]
26 Mar 2009, 19:01
krishan wrote: Accountant wrote: I think this was posted before but I can't find it. Can you please explain your answers:
If zy<xy<0, is |x-z|+|x|=|z|
1) z<x
2) y>0 from given condition zy<xy from (1), z<x --> y is positive --> z and x, both are negative and z < x. So, simplifying the equation: LHS = |x-z|+|x| = x-z + (-x) = x-z-x = -z RHS = |z| = -z (since z<0) which implies, LHS = RHS , hence (1) is sufficient from (2) , y> 0 --> z <0, x<0. Noe proceed the same way as above, that will give us a solution. Both (1) and (2) are sufficient separately. Therefore, answer is (D). Agree 100% You can rewrite the expression in the question as zy-xy<0 --> y(z-x) < 0. This leads to two options; either y<0 and z-x>0 or y>0 and z-x<0 From stat 1, you know z<x , so just quickly picking numbers, you see that the equality in question never holds. From stat 2, you know z<x, and same approach as above gives the same result
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Re: DS GMAT Prep - Inequalities [#permalink]
27 Mar 2009, 03:18
I get it now. Thanks pmenon. Answer : D
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Lahoosaher
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Re: DS GMAT Prep - Inequalities
[#permalink]
27 Mar 2009, 03:18
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