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GMAT PREP DS , INEQUALITY [#permalink]
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26 Sep 2008, 06:05
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Re: GMAT PREP DS , INEQUALITY [#permalink]
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26 Sep 2008, 06:47
I am getting E.
In both statement, I am getting multiple values of X even after combining both too. So both are not sufficient.



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Re: GMAT PREP DS , INEQUALITY [#permalink]
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28 Sep 2008, 05:18
C for me (took a while to figure out the problem...more than 5 mins).
since x3 is greater than or equal to y and also less than and equal to y and since y is greater than or equal to 0, only y = 0 will satisfy both the statements. Now, if y = 0 then only x = 3 will satisfy both the statements.



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Re: GMAT PREP DS , INEQUALITY [#permalink]
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28 Sep 2008, 13:12
y>= 0
1) l x3 l >= y x3 is equal or greater than 0, x could be anything from 3 up insuff
2) l x3 l <= y so  l x3 l >= y
x has to be 0 since y>=0 suff
i go with B



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Re: GMAT PREP DS , INEQUALITY [#permalink]
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18 Oct 2008, 23:46
IMO B:
2) l x3 l <= y so  l x3 l >= y => ve >= +ve ..this is possible only when y = 0 so x3 =0 and x =3..
What is OA...its good one



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Re: GMAT PREP DS , INEQUALITY [#permalink]
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19 Oct 2008, 00:13
bigtreezl wrote: y>= 0
1) l x3 l >= y x3 is equal or greater than 0, x could be anything from 3 up insuff
2) l x3 l <= y so  l x3 l >= y
x has to be 0 since y>=0 suff
i go with B x cant be zero. if x is zero then 3 >= 0 which is not possible.
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Re: GMAT PREP DS , INEQUALITY [#permalink]
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19 Oct 2008, 00:14
IMO B given : y>=0 Question x=? 1)x3>=y 2)x3<=y considr 1) when y>=0 x3 is always +ve hence >=y for all x ,hence INSUFFI 2) x3is postive hence <=y is only vali for y=0 hence x3=0 or x+3=0 =>x=3 only unique soln of x => SUFFi IMO B Good question
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Re: GMAT PREP DS , INEQUALITY [#permalink]
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19 Oct 2008, 00:52
guys,
can someone tell me why 2) x3is postive hence <=y is only vali for y=0 ??
what´s the reason for Y being 0??
thanks



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Re: GMAT PREP DS , INEQUALITY [#permalink]
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19 Oct 2008, 01:13
domleon wrote: guys,
can someone tell me why 2) x3is postive hence <=y is only vali for y=0 ??
what´s the reason for Y being 0??
thanks mod of any variable is always positive. Now if given x3 <= (y)  where y is always 0 or positive method 1 ) we know x3 cant be negative. and we know y cant be negative either to make (y) positive. The only possibility the above equation will hold true is y=0. method 2) we know anything is always >=0. what if (y) is negative  The equation does not hold good .. a positive (x3) cannot be less than negative what if (y) is positive  This cant be true, for (y) to be positive y has to be negative, but we have been given y>=0 what if (y) is zero  Yes !! This is possible. something can be zero.
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Re: GMAT PREP DS , INEQUALITY [#permalink]
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19 Oct 2008, 02:03
thanks amitdgr!!
i really aprpeciate the that you´ve take you the time to type the comprehensive explaintion into the forum!
cheers



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Re: GMAT PREP DS , INEQUALITY [#permalink]
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19 Oct 2008, 12:00
Hi guys, IMO: B 1 x3>=3 for me, this statement does not help to limit the range of x (the absolute value function is always >=0, like y). Therefore, becasue we don't know y, x can be any integer. Not suff. 2 for me it's easier to rewrite the eq as x3>=y. Because it's given that y>=0, the only possible value for x that satisfies the eq is x=3 OA? Cheers
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Re: GMAT PREP DS , INEQUALITY [#permalink]
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19 Oct 2008, 13:34
amitdgr wrote: domleon wrote: guys,
can someone tell me why 2) x3is postive hence <=y is only vali for y=0 ??
what´s the reason for Y being 0??
thanks mod of any variable is always positive. Now if given x3 <= (y)  where y is always 0 or positive method 1 ) we know x3 cant be negative. and we know y cant be negative either to make (y) positive. The only possibility the above equation will hold true is y=0. method 2) we know anything is always >=0. what if (y) is negative  The equation does not hold good .. a positive (x3) cannot be less than negative what if (y) is positive  This cant be true, for (y) to be positive y has to be negative, but we have been given y>=0 what if (y) is zero  Yes !! This is possible. something can be zero. Text book answer +2 for u



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Re: GMAT PREP DS , INEQUALITY [#permalink]
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19 Oct 2008, 23:44
Please consider my approach below. Where have i gone wrong? y =< x3 since 0 =< y, 0 must also be =< x3 i.e. x3 =< 0 which gives us the solution x>= 3 and x =< 3 Hence not solvable. Why is my answer not correct. Please can someone help me.
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Re: GMAT PREP DS , INEQUALITY [#permalink]
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20 Oct 2008, 23:06
IMO B.
From (1) > x3<= y or x3>=y not suf.
From (2) > y<= x3<=y But y>=0 so y must be 0 > x3=0 > x=3 suf.
B it is.



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Re: GMAT PREP DS , INEQUALITY [#permalink]
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21 Oct 2008, 01:58
Since y >= 0, (1) Many values of X possible for equation to hold => Insuff (2) Since x3 >= 0, for equation to hold, y must be 0. Hence unique value for X => Suff.
Ans is B.




Re: GMAT PREP DS , INEQUALITY
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