Answer
(BUC)'∩A={7}
Work Step by Step
U={1,2,3,4,5,6,7}
A={1,3,5,7}
B={1,2,3}
C={2,3,4,5,6}
To find (BUC)'∩A, we need to find (BUC)'.
BUC={1,2,3}U{2,3,4,5,6} = {1,2,3,4,5,6}
(List of all elements of B and the elements of C that are not in B)
(BUC)' represents all the elements of U that are not in (BUC).
so (BUC)'={7}
(BUC)'∩A={7} ∩ {1,3,5,7} = {7}
(Common elements of (BUC)' and A)
