1.

Check the validity of If n is a real number with n > 3, thenn2 > 9by the method of contradiction.

Answer»

SOLUTION :Let the given statement is false.
i.e. for a natural NUMBER `n GE3 n^2 ge 9`
`impliesn^2 le 3 implies n le 3`
( n is a natural number which contradicts the FACT that n>3)
This contradiction is due to our false assumption.
Thus for any natural number `n gt 3,n^2 gt 9`.


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