Question

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?

If it is not an even number, it is not divisible by 8.

If it is not divisible by 8, it is not an even number.

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

If it is not an even number, it is divisible by 8


I think it is B....

Answer 1

Wrong

Answer 2

C??

Answer 3

you have the usual statement
If a, then b.
This is the converse
If b, then a.
This is the inverse
If not, then not b.
This is the countrapositive
If not b, then not a.

Answer 4

The countrapositive and the "usual statement" are the same logical equivalence.

Answer 5

So it is a??

Answer 6

Yes.

Answer 7

Btw, countrapositive is equivalent to original, and converse is equivalent to inverse.

Answer 8

Got it!!! Thank you!!

Answer 9

Good :)