Let N be the set of natural numbers (including 0). Define the following sets using set builder notation. You should do this in a way that is entirely mathematical, contains no words, and does not rely on recognizing a pattern. For example, {X EN:x is divisible by 3} or {0,3, 6, ...} would not be accepted as answers to (a). A correct answer for (a) is provided below as an example, you do not need to make an answer for (a). (a) The set of natural numbers divisible by 3. {w EN: (Fy N)[x + 3 = y)} (b) The set of even numbers. (c) The set of prime numbers. We consider 2 to be the smallest prime