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  • Check the validity of the statement given below by the method given against it. (ii) q: If n is a real number with n > 3, then n^2 > 9 (by contradiction method).

6.(ii)    Check the validity of the statements given below by the method given against it.

   (ii) q: If n is a real number with n < 3, then n^2 < 9 (by contradiction method).

Answers (1)

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Assume that the given statement q is false.

The statement becomes: If n is a real number with n > 3, then n^2 < 9.

Therefore n>3 and n is a real number.

\\ \therefore n^2 > 3^2 \\ \implies n^2 > 9

This is a contradiction.

Therefore our assumption is wrong.

Thus, the given statement q is true.

Posted by

HARSH KANKARIA

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