If p is False and q is True, what is the truth value of ~p <--> ~qGroup of answer choicesTrueFalse

The truth value of ~p <--> ~q when p is False and q is True is False. Here's why:

1. The symbol ~ is a negation operator. It flips the truth value of the statement that follows it. So, ~p is the negation of p, and ~q is the negation of q.

2. Given that p is False, ~p (the negation of p) is True.

3. Given that q is True, ~q (the negation of q) is False.

4. The symbol <--> is a biconditional operator. It returns True if both the statements on its left and right have the same truth value, and False otherwise.

5. So, ~p <--> ~q is True <--> False, which is False because True and False do not have the same truth value.