Sets, Long Questions (Question 1 & 2)


Question 1:
The Venn diagrams in the answer space shows sets X, Y and Z such that the universal set, ξ=XYZ
On the diagrams in the answer space, shade
(a) X'Y, (b) ( XY' )Z


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.