Question

Integers are closed under subtraction. State whether the statement is True or False.

• A. True
• B. False

Answer 1

The correct option is A True

Explanation

We know that,

The difference between two integers is always an integer.

Let us consider two negative integers

$-7$ and $-6$

On finding the difference we get,

$$\begin{gathered} \Rightarrow -7–(-6) \\ \Rightarrow -7+6 \\ \Rightarrow -1 \end{gathered}$$

The obtained number is also an integer.

Hence, integers are closed under subtraction, so, the given statement is True.