Then symbolic from of the statement "If it does not rain today or I won't go to school, then I will meet my…

Then symbolic from of the statement "If it does not rain today or I won't 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
  1. $\sim(\mathrm{p} \vee \mathrm{q}) \rightarrow(\mathrm{r} \vee \mathrm{s})$
  2. $(p \wedge q) \rightarrow(r \vee s)$
  3. $\sim(\mathrm{p} \wedge \mathrm{q}) \rightarrow(\mathrm{r} \wedge \mathrm{s})$
  4. $(\sim \mathrm{p} \wedge \mathrm{q}) \rightarrow(\mathrm{r} \wedge \mathrm{s})$

Solution

From the data given, symbolic form of the given statement is $\begin{aligned} & (\sim \mathrm{p} \vee \sim \mathrm{q}) \rightarrow(\mathrm{r} \wedge \mathrm{s}) \\ & \equiv \sim(\mathrm{p} \wedge \mathrm{q}) \rightarrow(\mathrm{r} \wedge \mathrm{s}) \end{aligned}$

Asked in: MHT CET 2021 (20 Sep Shift 2)

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