The correct option is A p (p∨ q)∧ (p∨∼ q) =p∨(q∧∼ q) (distributive law) =p∨ 0 (complement law) =p ( 0 is indentity for v) ...

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Compound Statement

Simplify p∨...

Question

Simplify $(p \lor q) \land (p \lor \sim q)$

p

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\sim p

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\sim q

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q

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Solution

The correct option is A $p$
$(p \lor q) \land (p \lor \sim q)$
$= p \lor (q \land \sim q)$ (distributive law)
$= p \lor 0$ (complement law)
$= p$ ( $0$ is indentity for v)

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