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(B) Given the expression $p \rightarrow (q \vee r)$.Using the logical equivalence $p \rightarrow q \equiv \sim p \vee q$,we get:$p \rightarrow (q \vee

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$(p$ $\rightarrow q) \vee (p$ $\rightarrow r)$

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(B) Given the expression $p \rightarrow (q \vee r)$.Using the logical equivalence $p \rightarrow q \equiv \sim p \vee q$,we get:$p \rightarrow (q \vee r) \equiv \sim p \vee (q \vee r)$By the associative law of disjunction:$\equiv (\sim p \vee q) \vee (\sim p \vee r)$Applying the definition of implication $p \rightarrow q \equiv \sim p \vee q$ again to both parts:$\equiv (p$ $\rightarrow q) \vee (p$ $\rightarrow r)$

For the simple statements $p, q$,and $r$,$p \rightarrow (q \vee r)$ is logically equivalent to

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