High School

If 89 is divisible by 2, then 89 is an even number.

Converse:
Inverse:
Contrapositive:

Answer :

Here are the converse, inverse, and contrapositive of the conditional statement "If 89 is divisible by 2, then 89 is an even number":

What is the Converse?

Converse: If 89 is an even number, then 89 is divisible by 2. (This is false, because 89 is not even.)

Inverse: If 89 is not divisible by 2, then 89 is not an even number. (This is true.)

Contrapositive: If 89 is not an even number, then 89 is not divisible by 2. (This is also true.)

In general, the converse, inverse, and contrapositive of a conditional statement are not logically equivalent to the original statement. However, the contrapositive is always logically equivalent to the original statement.

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converse: If 89 is an even number, then 89 is divisible by 2
inverse: if 89 is not divisible by 2, then 89 is not an even number
contrapositive: if 89 is not an even number, then 89 is not divisible by 2.