Q:

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.

Accepted Solution

A:
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 → qwhere 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 qi.e. ~p → ~ qWe are given statement as:If a number is divisible by 2, then it is even. i.e. p=A number if divisible by 2and q= it is even.~p= A number is not divisible by 2and ~ q= number is not even.           Hence, the answer is: If a number is not divisible by 2, then it is not even.