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Compound Statement

Without using...

Question

Without using truth tables, show that
$p \land (q \lor \sim p) = p \land q$

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Solution

$p \land (q \lor \sim p) = (p \land q) \lor (p \land \sim p)$
$= p \land q$ ( $∵$ $p \land \sim p$ is contradiction $λ$ is always false).

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