State whether the statements are true (T) or false (F).If x and y are integers such that x2>y2, then x3>y3.

Given: integer x and y

For an integer x and y as (-1) and (-2) respectively.

x2>y2 (-2)2 > (-1)2 = 4 > 1 (true)

and x3>y3 (-2)3 > (-1)3 = -8 > -1 (not true)

as -8 < -1

Hence, the given statement is false.

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