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Whether xy<1? 1). x + y = 1 2). x^2 + y^2 = 1 [#permalink]

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27 Jun 2009, 22:17

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Whether xy<1? 1). x + y = 1 2). x^2 + y^2 = 1

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xy< 1 only when 1) exactly one of x and y is negative 2) they are both fractions <1 (can be negative or positive)

stmt1: x+y cannot be equal to 1 if both are positive integers, or both are negative, or one is negative but other is a positive integer so that xy >1, So this confirms that x+y must be satisfying atleast one of the 2 conditions given above

stmt 2: Again x^2 + y+2 will never be =1 if both are positive/negative integers.

thanks for the explanation ! As I get more aquainted with DS I get more terrified

--== Message from GMAT Club Team ==--

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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