Question

Rewrite the following statement with $‘‘\text{if - then}"$ in five different ways conveying the same meaning.
$Ifanaturalnumberisodd,thenitssquareisalsoodd$.

Answer 1

Given statement:
If a natural number is odd, then its square is also odd.

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

$\left(i\right)$ A natural number is odd implies that its square is odd.

$\left(ii\right)$ A natural number is odd only if its square is odd.

$\left(ii\right)$ For a natural number to be odd, it is necessary that its square is odd.

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

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