Write the following statement in the form "if $p$,then $q$":
$q$: There is a traffic jam whenever it rains.
$q$: There is a traffic jam whenever it rains.
(N/A) The statement "There is a traffic jam whenever it rains" means that if it rains,then there is a traffic jam.
Thus,the statement in the form "if $p$,then $q$" is: If it rains,then there is a traffic jam.
Thus,the statement in the form "if $p$,then $q$" is: If it rains,then there is a traffic jam.
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Similar Questions
Which of the following sentences are statements? Give reasons for your answer.
The square of a number is an even number.
The square of a number is an even number.
Easy
View SolutionAmong the statements:
$(S1): (p \Rightarrow q) \vee ((\sim p) \wedge q)$ is a tautology
$(S2): (q \Rightarrow p) \Rightarrow ((\sim p) \wedge q)$ is a contradiction
$(S1): (p \Rightarrow q) \vee ((\sim p) \wedge q)$ is a tautology
$(S2): (q \Rightarrow p) \Rightarrow ((\sim p) \wedge q)$ is a contradiction
DifficultJEE MAIN 2023
View SolutionWrite the negation of the following statement and check whether the resulting statement is true:
Every natural number is greater than $0.$
Every natural number is greater than $0.$
Easy
View SolutionIf $p$ and $q$ are simple propositions,then $p \Leftrightarrow \sim q$ is true when
Medium
View SolutionThe negation of the compound statement $\sim p \vee (p \vee (\sim q))$ is
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