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Using truth table prove that ∼p ˄ q ≡ (p ˅ q) ˄ ∼p - Mathematics and Statistics

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Using truth table prove that ∼p ˄ q ≡ (p ˅ q) ˄ ∼p

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Solution

I II III IV V VI
p q ~p

∼p ˄ q

p v q

(p v q) ˄ ∼p

T T F F T F
T F F F T F
F T T T T T
F F T F F F

From column (IV) and (VI), we get

∴ ∼p ˄ q ≡ (p ˅ q) ˄ ∼p

Concept: Logical Connective, Simple and Compound Statements
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