Question 14 Marks
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
View full question & answer→The given statement can be written in five different ways as follows.
- A natural number is odd implies that its square is odd.
- A natural number is odd only if its square is odd.
- For a natural number to be odd, it is necessary that its square is odd.
- For the square of a natural number to be odd, it is sufficient that the number is odd.
- If the square of a natural number is not odd, then the natural number is not odd.