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# y>=0, what is the value of x? 1) |x -3| >=y 2) |x -3|

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Manager
Joined: 02 Jan 2008
Posts: 194
Location: Toronto
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y>=0, what is the value of x? 1) |x -3| >=y 2) |x -3| [#permalink]  20 Mar 2008, 19:28
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y>=0, what is the value of x?

1) |x -3| >=y
2) |x -3| <= -y

Manager
Joined: 20 Aug 2007
Posts: 65
Followers: 1

Kudos [?]: 9 [0], given: 0

Re: DS, |x-3| [#permalink]  20 Mar 2008, 19:36
maverick101 wrote:
y>=0, what is the value of x?

1) |x -3| >=y
2) |x -3| <= -y

1) only is definitely not enough because x can be so many values (i.e. 3 4 5 ....)
2) only is enough because the minimum value of lx-3l is 0
since y is >=0 then -y can range from - infinity to 0
so we match minimum and maximum
we get x=3 and y =0

SVP
Joined: 29 Aug 2007
Posts: 2493
Followers: 59

Kudos [?]: 578 [1] , given: 19

Re: DS, |x-3| [#permalink]  20 Mar 2008, 19:59
1
KUDOS
maverick101 wrote:
y>=0, what is the value of x?

1) |x -3| >=y
2) |x -3| <= -y

1: Since y >= 0 and |x -3| >= y, x could be anything, -ve, 0, +ve.
2: Since y >= 0 and |x -3| <= -y, x is only 3 because y is not -ve, so y (also -y) cannot be other than 0.

B.
_________________
Re: DS, |x-3|   [#permalink] 20 Mar 2008, 19:59
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