## julie001 3 years ago What is the contrapositive of the following statement? “If there is rain, then the dog will not bark.”

1. ParthKohli

The contrapositive of $$P \rightarrow Q$$ is given by $$\neg Q \rightarrow \neg P$$

2. julie001

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

3. ParthKohli

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

4. ParthKohli

Yeah

5. julie001

thanks!

6. ParthKohli

yw