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Mathematical Reasoning
hard
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
$(p \Rightarrow q) \wedge (p \Rightarrow \sim r)$
(JEE MAIN-2014)
Solution
Given statement is
$p \Rightarrow \left( {q \vee r} \right)$ which is equivalent to
$\left( {p \Rightarrow q} \right) \vee \left( {p \Rightarrow r} \right)$
Standard 11
Mathematics
