Challenge Exercises for Mathematical Logic

Directions: Read each question below. Create a truth table to help you answer each question. The answer choices provided correspond to the last column of the truth table for a given problem. Select your answer by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a different button.

1.	What are the truth values for this statement?   ~pq
	{T, F, F, F} {F, T, T, T} {F, F, T, F} None of the above. RESULTS BOX:

2.	What are the truth values for this statement?   p~q
	{T, T, F, T} {F, F, T, F} {F, T, F, F} None of the above. RESULTS BOX:

3.	What are the truth values for this statement?   ~ab
	{F, T, T, F} {T, T, T, F} {T, F, T, T} None of the above. RESULTS BOX:

4.	What are the truth values for this statement?   a~b
	{F, T, T, T} {T, F, T, F} {T, T, T, F} None of the above. RESULTS BOX:

6.	What are the truth values for this statement?   ~qp
	{F, T, T, T} {T, F, T, F} {T, T, T, F} None of the above. RESULTS BOX:

7.	Which statement below is logically equivalent to the statement in problem 6?
	pq pq pq None of the above. RESULTS BOX:

8.	What are the truth values for this statement?   ~r~(rs)
	{T, T, T, T} {F, F, F, F} {T, T, T, F} None of the above. RESULTS BOX:

9.	What are the truth values for this statement?   (~qp)(pq)
	{F, T, T, T} {T, T, T, F} {T, T, T, T} None of the above. RESULTS BOX: