Answer the following questions related to the basic sets of numbers.
a. (i) Define Natural Numbers, Whole Numbers, Integers, Rational Numbers and Irrational Numbers.
b. (ii) Using suitable set–inclusion symbols, write the hierarchy that connects these sets.
c. (iii) Give two distinct examples of each of the following: (a) Natural numbers, (b) Integers that are not natural, (c) Rational numbers that are not integers, and (d) Irrational numbers.