**Question 1**:

**(a)**

Diagram 1 is a Venn diagram showing set

*W*and set

*X,*such that the universal set, ξ =

*W*U

*X*.

**Diagram 1**

State the relation between set

*W*and set

*X.*[1 mark].

**(b)**It is given that set

*P*= {

*x*:

*x*is a multiple of set 4}, set

*Q*= {

*x*:

*x*is a factor of 3} and set

*R*= {

*x*:

*x*is a factor of 6}, such that the universal set, ξ =

*P*U

*Q*U

*R*.

Based on the information in (b), draw a Venn diagram in the answer space, to show the relationship between set

*P*, set

*Q*and set

*R*. [2 marks]

**Solution**:**(a)**

Set

*X*is in set

*W*. So,

*X*is a subset of

*W.*

**(b)**

*P*= {4, 8, 12, 16, ….. }

*Q*= {1, 3}

*R*= {1, 2, 3, 6}

$Q\subset R$