State whether the following statements is True or False?
$p \leftrightarrow q \equiv (p \land q) \lor (\sim p \land \sim q)$

True

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False

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Solution

The correct option is A True
given statement
$p \leftrightarrow q = (p \land q) \lor (\sim p \land \sim q)$
taking RHS
$(p \land q) \lor (\sim p \land \sim q)$
$(p \land q) \lor (\sim (p \land q))$
$(p \land q) \land (p \land q)$
$p \leftrightarrow q$
It is true

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