Given that,
U={1,2,3,4,5,6}, A={1,3,5} and B={3,5,6}
According to De Morgan's Law:
(A∪B)′=A′∩B′
A′=U−A
= {1,2,3,4,5,6} − {1,3,5}
= {2,4,6}
B′=U−B
= {1,2,3,4,5,6} − {3,5,6}
= {1,2,4}
∴ (A∪B)′=A′∩B′
= {2,4,6}∩{1,2,4}
= {2,4}
#AnswerForTrees
#Carry On Learning
Answer:
U={1,2,3,4,5,6}, A={1,3,5} and B={3,5,6}, then (A∪B)'=?