The symbolic form of the statement "If it doe | vedclass

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(C) Given statements:$p$: It rains today$q$: $I$ am going to school$r$: $I$ will meet my friend$s$: $I$ will go to watch a movieThe statement is: "If

Vedclass · Accepted Answer

$\sim(p \wedge q) \rightarrow (r \wedge s)$

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(C) Given statements:$p$: It rains today$q$: $I$ am going to school$r$: $I$ will meet my friend$s$: $I$ will go to watch a movieThe statement is: "If (it does not rain today $OR$ $I$ will not go to school),then ($I$ will meet my friend $AND$ $I$ will go to watch a movie)."Symbolically:"It does not rain today" is $\sim p$."$I$ will not go to school" is $\sim q$."$I$ will meet my friend" is $r$."$I$ will go to watch a movie" is $s$.Combining these using logical connectives:$(\sim p \vee \sim q) \rightarrow (r \wedge s)$Using De Morgan's Law,$\sim p \vee \sim q \equiv \sim(p \wedge q)$.Therefore,the symbolic form is $\sim(p \wedge q) \rightarrow (r \wedge s)$.

The symbolic form of the statement "If it does not rain today or $I$ will not go to school,then $I$ will meet my friend and $I$ will go to watch a movie" is:
$p$: It rains today
$q$: $I$ am going to school
$r$: $I$ will meet my friend
$s$: $I$ will go to watch a movie

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The symbolic form of the statement "If it does not rain today or $I$ will not go to school,then $I$ will meet my friend and $I$ will go to watch a movie" is:$p$: It rains today$q$: $I$ am going to school$r$: $I$ will meet my friend$s$: $I$ will go to watch a movie