Sets, Long Questions (Question 3 & 4)


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 PQ.
(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 (υ Z) ∩ Y.

Solution:
(a)

PQ means the intersection of the region 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) PR’,
(b) Pυ (QR).


Solution:
(a)
P ∩ R


(b)
Pυ (Q ∩ R)