3.4 SPM Practice (Long Questions)

Question 1:
$\begin{array}{l}(a)\mathrm{X\text{'}}\cap Y,\\ (b)\left(X\cup \mathrm{Y\text{'}}\right)\cap Z\end{array}$

Solution:
(a) 
• Find the region of (X υ Y’) first.
• (X υ Y’) means the union of the region X and the region outside Y.
• The region then intersects with region Z to give the result of (X υ Y’) ∩ Z.

Question 2:
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) Q ∩ R,
(b) (P’ ∩ R) υ Q.
Solution:
(a) 
• Q ∩ R means the intersection of the region Q and the region R.



(b)
• Find the region of (P’ ∩ R) first.
• (P’ ∩ R) means the region that is outside P and is inside R.
• The union of this region with region Q give the result of (P’ ∩ R) υ Q.