Homework Help: math

Posted by jessica on Monday, July 20, 2009 at 12:37am.

Determine whether the statement is true, false, or sometimes true. Provide an example to justify your answer.
If both x and y are integers and x > y,
then x^2 > y^2.

math - Reiny, Monday, July 20, 2009 at 7:34am
not true

counterexample

5 > -6 ----> true
then 5^2 > (-6)^2 ??
25 > 36 ----> False

the statement is true only for positive values of x and y, so
it is "sometimes true"

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