The statement pattern (sim p wedge q) is logi | vedclass

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(B) We evaluate the given options to find the one equivalent to $(\sim p \wedge q)$.Consider option $B$: $(p \vee q) \wedge \sim p$.By the Distributiv

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$(p \vee q) \wedge \sim p$

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(B) We evaluate the given options to find the one equivalent to $(\sim p \wedge q)$.Consider option $B$: $(p \vee q) \wedge \sim p$.By the Distributive Law,this is equivalent to $(p \wedge \sim p) \vee (q \wedge \sim p)$.Since $(p \wedge \sim p) = F$ (Complementary Law),we have $F \vee (q \wedge \sim p)$.By the Identity Law,$F \vee (q \wedge \sim p) = (q \wedge \sim p)$.By the Commutative Law,$(q \wedge \sim p) = (\sim p \wedge q)$.Thus,the statement pattern $(\sim p \wedge q)$ is logically equivalent to $(p \vee q) \wedge \sim p$.

The statement pattern $(\sim p \wedge q)$ is logically equivalent to

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