Question

If a number is divisible by 2, then it is even. What is the inverse of this statementWhat is the inverse of this statement?

Answer 1

Answer:

The inverse of this statement is:

•  If a number is not divisible by 2, then it is not even.

Step-by-step explanation:

We know that for a given conditional statement:

           If p then q

i.e.   p → q

where p is the hypothesis of the statement and q is the conclusion of the statement.

the inverse of this statement is:

    if  not p then not q

i.e. ~p → ~ q

We are given statement as:

If a number is divisible by 2, then it is even.

i.e. p=A number if divisible by 2

and q= it is even.

~p= A number is not divisible by 2

and ~ q= number is not even.

          Hence, the answer is:

If a number is not divisible by 2, then it is not even.

Answer 2

Since this statement is in the form of an implication (if...then) and the inverse of an implication is ~p->~q then the answer would be: 
If a number is not divisible by 2, then the number is not even.