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Look at the statement below.

"If a number is divisible by 8, it is an even number.

" Which of these is a logically equivalent statement?

A.If it is not an even number, it is not divisible by 8.
B.If it is not divisible by 8, it is not an even number.
C.If it is an even number, it is divisible by 8.
D.If it is not an even number, it is divisible by 8.

User Mattfred
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2 Answers

6 votes
A.If it is not an even number, it is not divisible by 8.
User Nkron
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3 votes
That would be A.
This is called the Contrapositive :-

If A implies B then Not B implies Not A.
User Matteo Scotuzzi
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