Answer
(BUC)'∩A= {a}
Work Step by Step
U={a,b,c,d,e,f,g,h}
A={a,g,h}
B={b,g,h}
C={b,c,d,e,f}
To find (BUC)'∩A, we need to find (BUC).
(BUC) = {b,g,h} U {b,c,d,e,f} = {b,c,d,e,f,g,h}
(List of all the elements of B and the elements of C which are not there in B)
(BUC)' represents the elements of universal set U which are not there in (BUC)
So, (BUC)' = {a}
(BUC)'∩A={a} ∩ {a,g,h} = {a}
(Common elements of (BUC)' and A).
