Challenge Exercises: Symbolic Logic

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Challenge Exercises:
Symbolic Logic

Unit 9 > Lesson 10 of 11

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:

5. Choose the word or phrase that best completes this sentence: The statements in problems 3 and 4 are ____________.

Logically equivalent
Biconditional
Tautologies
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:

10. Choose the word or phrase that best completes this sentence: The statements given in problems 8 and 9 are _______.

Conjunctions
Tautologies
Triconditionals
None of the above.

RESULTS BOX: