Question

Given p--->q what is always true?

COnverse
Inverse
Contrapositive
Or all of the above

Answer 1

i thought it would be all of the above

Answer 2

Contrapositive is always true.

Answer 3

Contrapositive is always logically equivalent to the original conjecture. Converse and Inverse can be, but they don't have to.

Answer 4

Oh okay thanks, so if i were to say all of the above I would most likely get it wrong?

Answer 5

Yes.

Answer 6

okay thank you!

Answer 7

Example:
Original-A square is always a rectangle.(TRUE)
Converse-A rectangle is always a square.(FALSE)
Inverse-If not a square, then not a rectangle.(FALSE)
Contrapositive-If not a rectangle, then not a square(TRUE)
So that you understand why.

Answer 8

yeah I get it thanks!