**Question 1**:

List all the subsets of set

*P*= {*r*,*s*}.

*Solution:*There are 2 elements, so the number of subsets of set

*P*is 2*= 2*^{n}^{2}= 4.Set

*P*= {*r*,*s*}Therefore

**subsets of set***P*= {*r*}, {*s*}, {*r*,*s*}, {*}.***Question 2**:

Diagram above shows a Venn diagram with the universal set, ξ =

*Q*υ*P.*List all the subset of set

*P*.

*Solution:*Set

*P*has 3 elements, so the number of subsets of set*P*is 2*= 2*^{n}^{3}= 8.Set

*P*= {2, 3, 5}Therefore

**subsets of set***P*= {*}, {2}, {3}, {5}, {2, 3}, {2, 5}, {3, 5},***{2, 3, 5}.****Question 3**:

It is given that the universal set, ξ = {

*x*: 30 ≤*x*< 42,*x*is an integer} and set*P*= {*x*:*x*is a number such that the sum of it its two digits is an even number}.Find set

*P*’.

*Solution:*ξ = {30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41}

*P*= {31, 33, 35, 37, 39, 40}

Therefore

*P’*= {30, 32, 34, 36, 38, 41}.**Question 4**:

Given that universal set ξ = {

*x*: 3 <*x*≤ 16,*x*is an integer},Set

*A*= {4, 11, 13, 16},Set

*B*= {*x*:*x*is an odd number} andSet

*C*= {*x*:*x*is a multiple of 3}.The elements of the set (

*A*υ*C*)’ ∩*B*are

Solution:Solution:

ξ = {4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}

*A*= {4, 11, 13, 16}

*B*= {5, 7, 9, 11, 13, 15}

*C*= {6, 9, 12, 15}

(

*A*υ*C*)’ = {5, 7, 8, 10, 14}Therefore

**(***A***υ***C*)’ ∩*B*= {5, 7}.