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

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Question

Construct the truth table of the following statement pattern.

(p ∧ q) ↔ (q ∨ r)

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Solution

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

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