If $$p, q$$ are true statements and $$r$$ is false statement, then which of the following is correct.
p : It rains today
q : I am going to school
r : I will meet my friend
s : I will go to watch a movie.
Then symbolic form 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
Negation of $$(p \wedge q) \rightarrow(\sim p \vee r)$$ is
The negation of a statement 'x $$\in$$ A $$\cap$$ B $$\to$$ (x $$\in$$ A and x $$\in$$ B)' is