math
posted by jessica on .
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.

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"