Question

Look at the statement below.

If a number is divisible by 8, it is divisible by 4.

Which of these is a logically equivalent statement?
Answer
All numbers divisible by 4 are also divisible by 8.
If a number is not divisible by 4, it is not divisible by 8.
If a number is not divisible by 8, it is not divisible by 4.
A number is divisible by 4 if and only if it is divisible by 8.

Answer 1

The contrapositive has the same truth value.

Answer 2

Which statement is the contrapositive?

Answer 3

Contrapositive of a statement is always logically equivalent.
The contrapositive of any given statement "If P then Q" is "If not Q then not P".
Can you figure out the contrapositive in this case?

Answer 4

so #2

Answer 5

Yes.

Answer 6

Yes maam

Answer 7

It is the contrapositive of the given statement.

Answer 8

thanks so much

Answer 9

yw

Answer 10

@Mertsj Add a pic dude

Answer 11

A picture of what?

Answer 12

@ParthKohli A picture of what?

Answer 13

A profile pic

Answer 14

@ParthKohli What difference can it possibly make?

Answer 15

It just looks weird that a very good user is without a pic. Your choice.

Answer 16

@ParthKohli That's one of the big problems in the world. Most people are concerned with appearances and not reality.

Answer 17

Dw I have no right to disturb you with that.

Answer 18

It doesn't bother me at all. What does Dw mean?

Answer 19

Don't worry*

Answer 20

ok. thanks