Question

Let p, q, r denote arbitrary statements. Then the logically equivalent of the statement $p \Rightarrow (q \vee r)$ is:

• A. $( p \vee q) \Rightarrow r$
• B. $( p \Rightarrow q) \vee ( p \Rightarrow r)$
• C. $( p \Rightarrow \sim q) \wedge ( p \Rightarrow r)$
• D. $( p \Rightarrow q) \wedge ( p \Rightarrow \sim r)$

Answer 1

Answer: (B)

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

Answer 2

Given statement is $p \Rightarrow (q \vee r)$ which is equivalent to $( p \Rightarrow q) \vee ( p \Rightarrow r)$