The negation of the logical statement $(p \vee \sim q) \rightarrow (p \wedge \sim q)$ is
- A$(p \wedge \sim q) \wedge (p \vee \sim q)$
- B$(p \vee \sim q) \wedge (\sim p \vee q)$
- C$(p \vee \sim q) \wedge (p \wedge q)$
- D$(p \vee \sim q) \vee (\sim p \wedge q)$
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Similar Questions
If ${(p \wedge \sim q) \wedge (p \wedge r)} \rightarrow (\sim p \vee q)$ has a truth value of $False$,then the truth values of the statements $p, q, r$ are respectively:
If $p, q, r$ are single propositions with truth values $T, F, F$ respectively,then the truth value of $(p \wedge \sim q) \rightarrow (\sim p \vee r)$ is
The contrapositive of $(\sim p \wedge q) \rightarrow (q \wedge \sim r)$ is
Find the component statements of the following compound statement:
It is raining and it is cold.
It is raining and it is cold.
Easy
View SolutionRewrite the following statement in the form "$p$ if and only if $q$":
For you to get an $A$ grade,it is necessary and sufficient that you do all the homework regularly.
For you to get an $A$ grade,it is necessary and sufficient that you do all the homework regularly.
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