Question

Write the converse, inverse, and contrapositive of the following true conditional statement. Determine whether each related conditional is true or false. If a statement is false, find a counterexample.

If a number is divisible by 2 , then it is divisible by 4 .

Answer 1

Converse: If a number is divisible by 4, then it is divisible by 2.

• This is true.

Inverse: If a number is not divisible by 2, then it is not divisible by 4.

• This is true.

Contrapositive: If a number is not divisible by 4, then it is not divisible by 2.

• False. A counterexample is the number 2.