is {x | x is an element of N and x is between 5 and 6} an empty set

Yes, {x | x is an element of N and x is between 5 and 6} is an empty set. This is because there are no natural numbers between 5 and 6. Natural numbers are whole numbers greater than or equal to zero, and there are no natural numbers between 5 and 6.

No, the set {x | x is an element of N and x is between 5 and 6} is not an empty set. In fact, there are no natural numbers between 5 and 6, so the set is empty.