Question
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.
If both x and y are integers and x > y,
then x^2 > y^2.
Answers
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"
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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