Determining the Truth Value of Complex Statements #2

Directions:

1. Number the operators in the order that you will determine their truth values. (Note: Two or more operators can have the same number if there is no reason the truth value of one should be determined before the truth value of another.)

2. Assume that A, B, and C are true and X, Y, and Z are false. Determine the truth value of the components and the entire statement, circling the truth value under the main operator, i.e., the last operator you determine.

1. (C v X) → ~ B

2. (~ Z v A) & ~ Y

3. ~ (~ A → ~ Y) v (X & Z)

4. ~ (~ B & X) → (Y → ~ Z)

5. (Y v B) & ~ (Z v ~ A)

6. ~ [~ X v (~ Y & Z)]

7. A → [~ (Z v Y) & ~ C]

8. [~ B & (~ A v B)] v ~ Z

9. (~ Y & Z) v [~ A v (C → X)]

10. ~ [(Z & ~ B) v (A & ~ C)] v (B → X)