Symbolic Logic Worksheet 3 Name
1. Complete the truth table below using your knowledge of symbolic logic.
p q ~q p ∧q p ∨q p →q q →p p ↔q p →~q p ∨q →p p ∧q →q
T T
T F
F T
F F
Answer questions 2 through 9 based on the truth table above.
2. Which statement is negation?
3. Which statements are conditionals?
4. Which statement is a disjunction?
5. Which statement is a biconditional?
6. Which statement is a conjunction?
7. Which statements are logically equivalent?
8. Which statement is a tautology?
9. Determine which of the following statements are tautologies by constructing a truth table. Write yes or
no in the space provided.
a) r ∨~r
b) r →~r
c) (x ∨y) →(x ∧y)
d) ~(p ∨q) ↔(~p ∧~q)
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