Write the statement is symbolic form.
Let
p: The emergency room is full
q: The patient is sick.
The patient is not sick or the emergency room is not full.
Solution:-
Notice that p represents the simple statement ‘The emergency room is full’ and q represents the simple statement ‘The patient is sick.’
Since the symbol “~” represents the negation of a statement, “the patient is not sick” is represented by ~q.
The patient is not sick or the emergency room is not full
~q
To represent the “or” part of the statement, the symbol “v” is used.
To patient is not sick or the emergency room is not full.
~q v
In the last part of the statement, ~p is used since p is being negated.
The patient is not sick or the emergency room is not full.
~q v ~p
Thus, the statement that “The patient is not sick or the emergency room is not full” is represented by ~q v ~p.