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Construct the truth table of the following statement pattern. (p ∨ ∼ q) → (r ∧ p)

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Question

Construct the truth table of the following statement pattern.

(p ∨ ∼ q) → (r ∧ p)

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Solution

p q r ∼ q p ∨ ∼ q r ∧ p (p ∨ ∼ q) → (r ∧ p)
T T T F T T T
T T F F T F F
T F T T T T T
T F F T T F F
F T T F F F T
F T F F F F T
F F T T T F F
F F F T T F F
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Chapter 1: Mathematical Logic - Exercise 1.2 [Page 13]

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