**Question 3**:

**(a)**The Venn diagrams in the answer space shows sets

*P*and

*Q*such that the

universal set, ξ =

*P*υ

*Q*.

Shade the set

*P*∩

*Q*.

**(b)**The Venn diagrams in the answer space shows sets

*X*and

*Y*and

*Z*, such that

the universal set, ξ =

*X*υ

*Y*υ

*Z*.

Shade the set (

*X*υ

*Z*) ∩

*Y*.

Solution:Solution:

**(a)**

•

**means the intersection of the region**

*P*∩*Q**P*and the region

*Q*.

**(b)**

• (

*X*υ

*Z*) means the union of the region

*X*and the region

*Z*.

• The region then intersects with region

*Y*to give the result

**(**.

*X*υ*Z*) ∩*Y***Question 4**:

The Venn diagrams in the answer space shows sets

*P*,

*Q*and

*R*such that the universal set, ξ =

*P*υ

*Q*υ

*R*

On the diagrams in the answer space, shade

**(a)**

*P*∩

*R*’,

**(b)**

*P*’υ (

*Q*∩

*R*).

*Solution:***(a)**

*P*∩*R*’**(b)**

*P*’υ (*Q*∩*R*)