Question

Explain why p -> q is false, only when p is true and q is false. Let p: It is raining q: I will give you a ride home after class and the meaning of the truth for p-> q (If it is raining, then I will give you a ride home)

Answer 1

Explanation:

Let p : It is raining

Truth value of this statement is True.

q : I will give you a ride home after class

Truth value of the statement q is True.

So for the statement p→q (If it is raining, then I will give you a ride home)

truth value will be True.

Therefore, when statement p is True and q is False, p→q will be False.