# 1.5 Quantifiers & Predicate Logic

## Quantifiers

Let $$Q(x,y)$$ be the statement

"$$x$$ has been a contestant on television show $$y$$."

The domain of discourse for $$x$$ is the set of all students at your school and for $$y$$ is the set of all quiz shows on television.

Which of the following are logically equivalent to:

"No student at your school has ever been a contestant on a television quiz show."

Exercise 1