1. The sets A, B and C are as follows: A = {2, 3, 4, 5, 6} B = {2, 4, 6, 8, 10} C = { 1, 4, 8, 12, 14} (i) Represent this information using a Venn diagram. (ii) List all the elements of each of the following sets: (a)
(iii) Write down a null set in terms of A , B and C . (iv) Is A∩(B∩C) = (A∩B)∩C ? Justify your answer, showing your work. (v) Is (B\A) \C = B\ (A\C) ? Justify your answer, showing your work.
C
(vi) If a number is chosen at random from this Venn diagram, calculate the probability that it will be a prime number.