3.4 SPM Practice (Long Questions)


Question 9 (3 marks):
The Venn diagram in the answer space shows set P, set Q and set R such that the universal set ξ = P U Q U R.
On the diagram in the answer space, shade the set
(a) P’,
(b) (PQ) U R

Answer:



Solution:
(a)



(b)





Question 10 (3 marks):
(a) It is given that set E = {perfect square numbers} and set F = {9, 16, 25}.
Complete the Venn diagram in the answer space to show the relationship between set E and set F.

Answer:


(b)
 The Venn diagram in Diagram 1 shows the sets X, set Y and set Z.
The universal set, ξ = X U Y U Z.

Diagram 1

State the relationship represented by the shaded region between sets X, set Y and set Z.



Solution:

(a)


(b)


Hence, relationship represented by the shaded region between sets X, set Y and set are (X ∩ Y) ∪ Z.