Question

Let p: the book is interesting and q: the book has pictures.



The notation p ∧ q represents the statement “The book is interesting
the book has pictures.”

The notation p ↔ q represents the statement “The book is interesting
the book has pictures.”

The notation q ∨ p represents the statement “The book has pictures
the book is interesting.”

The notation q → p represents the statement “The book is interesting
the book has pictures.”

Answer 1

- p ∧ q: "The book is interesting and the book has pictures."
- p ↔ q: "The book is interesting if and only if the book has pictures." (equivalently: the book is interesting exactly when it has pictures)
- q ∨ p: "The book has pictures or the book is interesting." (this "or" is inclusive — it allows both to be true)
- q → p: "If the book has pictures, then the book is interesting."