Question

write the inverse and converse for the following statement. If a number is divisible by 2 then it is an even number

Answer 1

If a statement has a hypothesis and a conclusion (i.e. it is in the form "if ... then ...")

• The inverse is the statement built negating the hypothesis and the conclusion: "if A then B" becomes "if not A then not B"
• The converse is the statement built exchanging hypothesis and conclusion: "if A then B" becomes "if B then A"

So, the inverse of your statement is "if a number is not divisible by 2, then it is an odd number"

The converse of your statement is "if a number is even, then it is divisible by 2".