Disprove, by finding a suitable counter example, the statement x2 > y – InterviewSolution

1.

Disprove, by finding a suitable counter example, the statement x2 > y2 for all x > y

Answer»

If x = – 8 and y = – 10

Here x > y

x² = (- 8)² = 64 and y² = (- 10)² = 100

But x² > y² is false here. [ ∵ 64 < 100]

(This can be proved for any set of negative numbers or a negative number and a positive number)

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