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

Question

Aicharya · Accepted Answer

$\begin{aligned} & P ightarrow(q \vee r) \ & \equiv \sim p \vee(q \vee r) \quad[\because p ightarrow q \equiv \sim p \vee q] \ & \equiv(\sim p \vee q) \vee(\sim p \vee r) \ & \equiv(p ightarrow q) \vee(p ightarrow r)\end{aligned}$

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

Solution