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If $p:$ It rains today, $q:$ I go to school, $r:$ I shall meet my friends and $s:$ I shall go for a movie, then which of the following is the proportion? If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.
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2816 Upvotes
Verified Answer
The correct answer is:
$\sim(p \wedge q) \Rightarrow(r \wedge s)$
Correct result is as follows:
$\begin{array}{ll}
& (\sim \mathrm{p} \vee \sim \mathrm{q}) \Rightarrow(\mathrm{r} \wedge \mathrm{s}) \\
\text { or } & \sim(\mathrm{p} \wedge \mathrm{q}) \Rightarrow \mathrm{r} \wedge \mathrm{s}
\end{array}$
$\begin{array}{ll}
& (\sim \mathrm{p} \vee \sim \mathrm{q}) \Rightarrow(\mathrm{r} \wedge \mathrm{s}) \\
\text { or } & \sim(\mathrm{p} \wedge \mathrm{q}) \Rightarrow \mathrm{r} \wedge \mathrm{s}
\end{array}$
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