If $p$: It is raining and $q$: It is pleasant,then the symbolic form of "It is neither raining nor pleasant" is
- A$\sim p \wedge q$
- B$\sim p \vee q$
- C$(\sim p) \wedge (\sim q)$
- D$(\sim p) \vee (\sim q)$
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Similar Questions
Which of the following sentences are statements? Give reasons for your answer.
There are $35$ days in a month.
There are $35$ days in a month.
Easy
View SolutionLet $p, q, r$ be three statements,then $[p$ $\rightarrow (q$ $\rightarrow r)] \leftrightarrow [(p \wedge q)$ $\rightarrow r]$ is
Statement-$I$: $(p \wedge \sim q) \wedge (\sim p \wedge q)$ is a contradiction.
Statement-$II$: $(p$ $\rightarrow q) \Leftrightarrow (\sim q$ $\rightarrow \sim p)$ is a tautology.
Statement-$II$: $(p$ $\rightarrow q) \Leftrightarrow (\sim q$ $\rightarrow \sim p)$ is a tautology.
Difficult
View SolutionIn a Boolean Algebra $B$,for all $x, y \in B$,$x \wedge (x \vee y)$ is equal to
The negation of $q \vee \sim (p \wedge r)$ is
Easy
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