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

Since we are given that x is an element of N (the set of natural numbers) and x is between 5 and 6, the only possible value for x is 6. Therefore, the set {x | x is an element of N and x is between 5 and 6} is {6}.

To find the set of natural numbers between 5 and 6, we need to remember that natural numbers are counting numbers and exclude any decimals or fractions. Since there are no natural numbers between 5 and 6, the set you are looking for is empty, represented by the symbol Ø or { }.