Question

What is the contrapositive of the following statement?
“If there is rain, then the dog will not bark.”

Answer 1

The contrapositive of \(P \rightarrow Q\) is given by \(\neg Q \rightarrow \neg P\)

Answer 2

is it "If the dog will not bark, then there is rain."

Answer 3

So, if a statement is 'If P then Q', then the contrapositive is If not Q then not P.

Answer 4

Yeah

Answer 5

thanks!

Answer 6

yw