If A={1,2,3}, B={3,4} and C={4,5,6}, then A∪(B∩C) is equal to
{1,2,}
∅
{4,5}
{1,2,3,4}
Step1. Finding intersection of the set.
A={1,2,3}
B={3,4}
C={4,5,6}
B∩C={3,4}∩{4,5,6}={4}
Step2. Finding union of set.
Now,
A∪(B∩C)={1,2,3,}∪{4}={1,2,3,4}
Hence, correct option is (D)
Given A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, find (A×B)∩(B×C).
If A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, find
(i) A×(B∩C)
(ii) (A×B)∩(A×C)
(iii) A×(B∪C)
(iv) (A×B)∪(A×C)