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If x is less than y, is x^2 less than y^2?

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misterJJ2u
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If x is less than y, is x^2 less than y^2? [#permalink] New post   Updated on: 12 Aug 2007, 17:58
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If x is less than y, is x^2 less than y^2?
(1) y > 0
(2) x > 0



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Originally posted by misterJJ2u on 11 Aug 2007, 04:34.
Last edited by misterJJ2u on 12 Aug 2007, 17:58, edited 1 time in total.
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Re: If x is less than y, is x^2 less than y^2? [#permalink] New post   11 Aug 2007, 11:38
could you repost the question..this time disble HTML in the post!
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Re: If x is less than y, is x^2 less than y^2? [#permalink] New post   12 Aug 2007, 18:39
misterJJ2u wrote:
(edit: disabled HTML)

---------------------------------------

If x is less than y, is x^2 less than y^2?
(1) y > 0
(2) x > 0


this is B.
1. y is +ve, but lxl>y. nsf.
2. if both are +ve and y>x, x^2<y^2. suff.

B
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Re: If x is less than y, is x^2 less than y^2? [#permalink] New post   12 Aug 2007, 19:03
Given: X 0
This scenario, Y is a positive number and X is positive or negative number. This condition proves to be invalid if X = -1 and Y = 1. This is insufficient.

Case 2: X > 0

This condition imposes a pre-condition of both X and Y are positive numbers and X is less than Y. For example: X = 2 Y = 3 ect. This is sufficient to prove that both (X + Y) (X – Y) < 0


Answer: B



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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Thank you for understanding, and happy exploring!
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Re: If x is less than y, is x^2 less than y^2? [#permalink]
12 Aug 2007, 19:03
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