Let $p, q, r$ denote arbitrary statements. Then the logical 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$(p$ $\Rightarrow q) \wedge (p$ $\Rightarrow \sim r)$
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Similar Questions
Check the validity of the statement given below by the method specified against it.
$q:$ If $n$ is a real number with $n > 3$,then $n^{2} > 9$ (by contradiction method).
$q:$ If $n$ is a real number with $n > 3$,then $n^{2} > 9$ (by contradiction method).
Medium
View SolutionThe negation of the conditional statement,"If it rains,$I$ shall go to school" is:
The negation of the statement $q \wedge (\sim p \vee \sim r)$ is:
The logical equivalent of $p \Leftrightarrow q$ is :-
The proposition $p \rightarrow \sim( p \wedge \sim q )$ is equivalent to
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