Question

1) Which statement is logically equivalent to the conditional statement? "If 8 is an even number, then 8 is divisible by 3." A) "If 8 is divisible by 3, then 8 is an even number." B) "If 8 is an even number, then 8 is not divisible by 3." C) "If 8 is not an even number, then 8 is not divisible by 3." D) "If 8 is not divisible by 3, then 8 is not an even number."

Answer 1

Answer: D) "If 8 is not divisible by 3, then 8 is not an even number."

Step-by-step explanation:

The statement shows that if 8 is an even number, then it would have to be able to be divisible by 3. This means that all even numbers are divisible by 3.

It therefore follows that if 3 is unable to divide 8 then 8 is not an even number as all even numbers have the quality of being able to be divisible by 3.