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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 -

    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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