1.

Rewrite the following statement, with 'if ... , then' in five different ways conveying the same meaning: If a natural number is even, then its square is even.

Answer»

Solution :We may REWRITE it in following ways:
(i) A natural NUMBER is even implies that its square is even. ltbr (II) A natural number is even only if its square is even.
(iii) For a natural number to be even it is necessary that its square is even.
(IV) For the square of a natural number to be even, it is sufficient that the number is even.
(v) If the square of a natural number is not even, then the natural number is not even.


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