Connectives Intermediate Quiz 3

1. If P is true and Q is true, what is the truth value of "Not P implies Not Q"?

2. What property allows you to rewrite "(P and Q) and R" as "P and (Q and R)"?

3. What property allows you to rewrite "P and (Q or R)" as "(P and Q) or (P and R)"?

4. The biconditional statement "P if and only if Q" is logically equivalent to the conjunction of which two statements?

5. If a conditional statement is true, what can be concluded about its converse?

6. If a conditional statement is true, what can be concluded about its contrapositive?

7. The negation of a conditional statement (P implies Q) is logically equivalent to which conjunction?

8. What is the truth value of the compound statement "P if and only if Not P"?

9. If P is true, Q is false, and R is true, what is the truth value of "(P or Q) and Not R"?

10. If P is true, Q is false, and R is true, what is the truth value of "(P and Q) or R"?