Answered>Order 6421

Question 2: (25 points) The following questions pertain to logic

Part A: (5 points) Find the truth value for the following statement, assuming ‘p’ is T and ‘q’ is F: ~(p V ~q)

Answer:

Is this right?

~(T  V ~F)

~ (T V T)

~T V ~T

  F V F

     F

Part B: (5 points) Let ‘p’ be the statement “My test grade was 80”. Let ‘q’ be the statement “My date was late to dinner.” Let ‘r’ be the statement “My telephone bill was more than $10.” Write the following statement in symbolic form: My date was late to dinner or my telephone bill was more than $10, and my test grade was not 80.

Is this right?

Answer:

q V r ? p

Part C: (8 points) Show via a truth table that p ? q and ~q?~p are equivalent.

Additionally, we know that ~q ? ~p is the ___________________ of p ? q.

Part D: (7 points) Construct a truth table for the following: [(~p V q) ? p] ? q

Is this a valid argument? Yes or No (Circle one).

Is this