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

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Question

Construct the truth table of the following statement pattern.

(p ∧ ∼q) ↔ (p → q)

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Solution

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

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