Question

Which of the following statement is not true?

integers are closed under division
whole numbers are not closed under subtraction
whole numbers are closed under addition
natural numbers are closed under multiplication

Answer 1

integers are closed under division

Explanation:

Integers are not closed under division.Let us consider two integers i and j.

Then
`\[(i)/(j)\]` need not necessarily be an integer. For example, 2 and 3 are integers but
`\[(2)/(3)\]` is not an integer. So the first option , namely, integers are closed under division is not true.

On the other hand, the remaining three options given are correct.