 # 4.5.1 Operations on Sets, SPM Paper 2 (Long Questions)

Question 1:
The Venn diagrams in the answer space shows sets X, Y and Z such that the universal set, $\xi =X\cup Y\cup Z$
On the diagrams in the answer space, shade
$\begin{array}{l}\left(a\right)\text{}\mathrm{X’}\cap Y,\\ \left(b\right)\text{}\left(X\cup \mathrm{Y’}\right)\cap Z\end{array}$

Solution:

(a)
X’ ∩ Y means the intersection of the region outside X with the region Y.

(b)
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) QR,
(b) (P’Rυ Q.
Solution:
(a)
QR 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’Rυ Q.