The negation of the conditional statement,"If | vedclass

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Question

(B) Let $p$ be the statement: "It rains".Let $q$ be the statement: "$I$ shall go to school".The given conditional statement is $p \Rightarrow q$.The n

Vedclass · Accepted Answer

It rains and $I$ shall not go to school

Vedclass · Answer

(B) Let $p$ be the statement: "It rains".Let $q$ be the statement: "$I$ shall go to school".The given conditional statement is $p \Rightarrow q$.The negation of a conditional statement $p \Rightarrow q$ is given by $\sim(p \Rightarrow q) \equiv p \wedge \sim q$.Here,$p \wedge \sim q$ translates to: "It rains and $I$ shall not go to school".Therefore,the correct option is $B$.

The negation of the conditional statement,"If it rains,$I$ shall go to school" is:

Similar Questions

The output of the following circuit is

The converse of $[p \wedge (\sim q)] \rightarrow r$ is

Which of the following statement patterns is a tautology?

Statement-$I$: $\sim (p \leftrightarrow q)$ is equivalent to $(p \wedge \sim q) \vee (q \wedge \sim p)$.
Statement-$II$: $p$ $\rightarrow (p$ $\rightarrow q)$ is a tautology.

The simplest form of the following switching circuit is represented by which of the given options?

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