P q - (png) (p → ~ q) Ovo F F T (b) Is the statement - (p^q) → (p → ~ q) a tautology, a contradiction, or neither? Why? Choose the best answer. The statement is a tautology. This is because it is true for all possible true-false combinations of p and q. The statement is a tautology. This is because it is true for some true-false combinations of p and q and false for others. The statement is a contradiction. This is because it is false for all possible true-false combinations of p and q. The statement is a contradiction. This is because it is true for some true-false combinations of p and q and false for others. O The statement is neither a tautology nor a contradiction. O O

For the statement: “It is false that if Elaine went to lunch, then she cannot take a message and we will have to go home.” Construct a truth table for the symbolic statement.   Enter the cases and the final values in the table. Use T and F only. pqr Truth Table p q r Final Values

All of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/  B is a salesperson and C is a programmer 4/ B and C are both salesperson

Determine if the following conditional statement is true or false. if 3 x 8 = 30, then you are the tallest person in the world. True False