Question
Using the truth table, prove the following logical equivalences:
p ∧ (~p ∨ q) ≡ p ∧ q
p ∧ (~p ∨ q) ≡ p ∧ q
✓
Answer
p ∧ (~p ∨ q) ≡ p ∧ q
The entries in columns 5 and 6 are identical.
∴ p ∧ (~p ∨ q) ≡ p ∧ q
The entries in columns 5 and 6 are identical.
∴ p ∧ (~p ∨ q) ≡ p ∧ q
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