Answer
A∩(B∪C)={1,3,5}
Work Step by Step
A={1,3,5,7}
B={1,2,3}
C={2,3,4,5,6}
TO FIND A∩(B∪C) Let's first find B∪C
B∪C = {1,2,3} ∪ {2,3,4,5,6} = {1,2,3,4,5,6}
(All the elements of B and C which are not in B)
Then A∩(B∪C) = {1,3,5,7} ∩ {1,2,3,4,5,6} = {1,3,5}
(Common elements of A and (B∪C))
Thus A∩(B∪C)={1,3,5}
