If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z = {1, 3} are subsets of u = {x:0 (geq) x (geq) 6}, find x (cap) (Y’ (cup) Z)
-
A.
{0, 2, 6} -
B.
{1, 3} -
C.
{0, 6) -
D.
{9}
Correct Answer: Option C
Explanation
x = {0, 2, 4, 6}; y = {1, 2, 3, 4}; z = {1, 3}
u = {0, 1, 2, 3, 4, 5, 6}
y’ = {0, 5, 6}
to find x (cap) (Y’ (cup) Z)
first find y’ (cup) z = {0, 1, 3, 5, 6}
then x (cap) (Y’ (cup) Z) = {0, 6}