**3.2b Universal Set****1.**Universal set is a set that contains all the elements under consideration.

**2.**In set notation, the symbol

**ξ**denotes a universal set.

Example:

Example:

Given that the universal set, ξ = {whole numbers less than 9},

*A*= {prime number} and*B*= {multiple of 4}.(a) List all the elements of set

*A*and set*B*.(b) Illustrate the relationships between the following sets using Venn diagrams.

(i) ξ and A

(ii) ξ, A and B

Solution:Solution:

(a) ξ = {0, 1, 2, 3, 4, 5, 6, 7, 8}

*A*= {2, 3, 5, 7}

*B*= {4, 8}

(b)(i)

(b)(ii)