Question 5(Multiple Choice Worth 1 points)

Question

(01.05 LC)

What is the contrapositive of the following statement?

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

If the dog will bark, then there is no rain.
If there is no rain, then the dog will not bark.
If the dog will not bark, then there is rain.
If there is no rain, then the dog will bark.

Answer 1

The contrapositive of a statement "If P, then Q" is "If not Q, then not P."

For the statement "If there is rain (P), then the dog will not bark (Q)," the contrapositive would be:

"If the dog will bark (not Q), then there is no rain (not P)."

So, the correct answer is:

If the dog will bark, then there is no rain.