1. Let P denote the set of prime numbers and E the set of even integers. As always, Z denotes the set of integers and N denotes the set of natural numbers. Write the following using set notation. The first one has been done for you.

(a) 0 is an integer but not natural number. 0 Z \ N

(b) 3 is a prime but not an even number.

(c) is not an integer.

(d) Every even integer is an integer.

(e) Every prime is both a natural number and an integer