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# If y is greater than or equal to 0, what is the value of x?

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If y is greater than or equal to 0, what is the value of x? [#permalink]

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10 Dec 2007, 12:01
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If y is greater than or equal to 0, what is the value of x?

(1) |x-3| is greater than or equal to y

(2) |x-3| is less than or equal to -y

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10 Dec 2007, 12:06
Y is 0 or a positive number. Now we want to find X.

1. |x-3| is greater than or equal to y

x could be any real number and this could work

Insufficient

2. |x-3| is less than or equal to -y

|x-3| is always going to be 0 or a positive number
since Y is 0 or positive, -y is always going to be 0 or a negative number

Y must be 0 and |x-3| must be 0 as well. x = 3

Sufficient

10 Dec 2007, 12:06
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# If y is greater than or equal to 0, what is the value of x?

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