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
$p$: It rains today
$q$: $I$ am going to school
$r$: $I$ will meet my friend
$s$: $I$ will go to watch a movie
- A$\sim(p \vee q) \rightarrow (r \vee s)$
- B$(p \wedge q) \rightarrow (r \vee s)$
- C$\sim(p \wedge q) \rightarrow (r \wedge s)$
- D$(\sim p \wedge q) \rightarrow (r \wedge s)$
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For the statements $p$ and $q$,consider the following compound statements :
$(a)$ $(\sim q \wedge (p$ $\rightarrow q))$ $\rightarrow \sim p$
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Then which of the following statements is correct?
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