Challenge 017

All of the follow statements are true.

(A) This statement is true because !A is true and according to Morgan's Law, ! (X && !Y) is the same thing as !B || C . Therefore, !B is true.

(B) This statement is true because it requires only A , B , or C to be true. These are all true because they start off false but are true because of the !.

(C) This statement is true because !( A || B || C) means that they are all true because you distribute the ! within the parenthesis. While only one need to be true, they all are.

(D) This statement is true because after distributing the ! to each variable, all of the variables become true. The && calls for all of the variables to be true, so this statement is true.

(E) This statement is true because either A , B , or C need to be true. !A is true so this statement is true.