Write the following statement in the form "if $p$,then $q$":
$r$: You can access the website only if you pay a subscription fee.
$r$: You can access the website only if you pay a subscription fee.
(N/A) The statement $r$ is of the form "$p$ only if $q$",which is logically equivalent to "if $p$,then $q$".
Here,$p$ is "You can access the website" and $q$ is "You pay a subscription fee".
Therefore,the statement in the form "if $p$,then $q$" is: "If you can access the website,then you pay a subscription fee."
Here,$p$ is "You can access the website" and $q$ is "You pay a subscription fee".
Therefore,the statement in the form "if $p$,then $q$" is: "If you can access the website,then you pay a subscription fee."
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Similar Questions
Consider the following two propositions:
$P_1: \sim( p \rightarrow \sim q )$
$P_2: ( p \wedge \sim q ) \wedge ((\sim p ) \vee q )$
If the proposition $p \rightarrow ((\sim p ) \vee q )$ is evaluated as $FALSE$,then
$P_1: \sim( p \rightarrow \sim q )$
$P_2: ( p \wedge \sim q ) \wedge ((\sim p ) \vee q )$
If the proposition $p \rightarrow ((\sim p ) \vee q )$ is evaluated as $FALSE$,then
The contrapositive of the statement $\sim p \vee (q \wedge \sim r)$ is
The negation of the contrapositive of the statement $(p \lor \sim q) \to (p \land \sim q)$ is
DifficultMHT CET 2026
View SolutionIf the statement pattern $(p \wedge q) \rightarrow (r \vee \sim s)$ is false,then the truth values of $p, q, r$ and $s$ are respectively:
Let $p, q$ and $r$ be the statements:
$p$: $X$ is an equilateral triangle
$q$: $X$ is an isosceles triangle
$r: q \vee \sim p$
Then the equivalent statement of $r$ is:
$p$: $X$ is an equilateral triangle
$q$: $X$ is an isosceles triangle
$r: q \vee \sim p$
Then the equivalent statement of $r$ is:
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