Rewrite the following statement with “if-then” in five different w

1.	Rewrite the following statement with “if-then” in five different ways conveying the same meaning.If a natural number is odd, then its square is also odd.
Answer» The given statement can be written in five different ways as follows. (i) A natural number is odd implies that its square is odd. (ii) A natural number is odd only if its square is odd. (iii) For a natural number to be odd, it is necessary that its square is odd. (iv) For the square of a natural number to be odd, it is sufficient that the number is odd. (v) If the square of a natural number is not odd, then the natural number is not odd.

Rewrite the following statement with “if-then” in five different ways conveying the same meaning.If a natural number is odd, then its square is also odd.

Answer»

The given statement can be written in five different ways as follows.

(i) A natural number is odd implies that its square is odd.

(ii) A natural number is odd only if its square is odd.

(iii) For a natural number to be odd, it is necessary that its square is odd.

(iv) For the square of a natural number to be odd, it is sufficient that the number is odd.

(v) If the square of a natural number is not odd, then the natural number is not odd.