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

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




























Respuesta :

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.