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.

Question

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

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.
Given that p is False, ~p (the negation of p) is True.
Given that q is True, ~q (the negation of q) is False.
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.
So, ~p <--> ~q is True <--> False, which is False because True and False do not have the same truth value.

This problem has been solved

Knowee AI · Accepted Answer

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

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.
Given that p is False, ~p (the negation of p) is True.
Given that q is True, ~q (the negation of q) is False.
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.
So, ~p <--> ~q is True <--> False, which is False because True and False do not have the same truth value.

This problem has been solved

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