Let P = {1, 2, u, v, w, x}; Q = {2, 3, u, v, w, 5, 6, y} and R = {2, 3, 4, v, x, y}.
Determine (P-Q) ∩ R
A
{1, x}
B
{x y}
C
{x}
D
ɸ
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
P = {1,2,u,v,w,x}
Q = {2,3,u,v,w,5,6,y}
R = {2,3,4,v,x,y}
P - Q = {1,x}
(P - Q) ∩ R = {1,x} ∩ {2,3,4,v,x,y} = {x}
NB: The set P−Q consists of elements that are in P but not in Q.
Source: Myschool Past Questions Archive (Record #552)