Question

Construct a truth table for the following compound propositions. (2 × 3 = 6

points)

(a) (p ∨ q) ∨ (¬p ∧ q) → q

(b) (p → (q → r)) ↔ ((p ∧ q) → r)

Answer 1

p q (((p ∨ q) ∨ (¬p ∧ q)) → q)

F F T

F T T

T F F

T T T

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p q r ((p → (q → r)) ↔ ((p ∧ q) → r))

F F F T

F F T T

F T F T

F T T T

T F F T

T F T T

T T F T

T T T T