Problem 1053

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.

 

 

 

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