p ∨ (p ∧ q) = ?
- p
- q
- p ∧ q
- p ∨ q
Explanation
The formula p ∨ (p ∧ q) can be simplified using the distributive property of ∨ over ∧, which states that p ∨ (q ∧ r) = (p ∨ q) ∧ (p ∨ r).
Applying this property, we get:
p ∨ (p ∧ q) = (p ∨ p) ∧ (p ∨ q) = p ∧ (p ∨ q) = p
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