Answer
(A'∩B) U (A'∩C') = {b}
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 (A'∩B) U (A'∩C'), we need to find A' and C'.
A' represents all the elements of U which are not in A
So, A'={b,c,d,e,f}
C' represents all the elements of U which are not in C
So, C'={a,g,h}
Now, A'∩B={b,c,d,e,f} ∩ {b,g,h} ={b}
(List of all common elements in A' and B )
Now, A'∩C'={b,c,d,e,f} ∩ {a,g,h} ={ }
(List of all common elements in A' and C' )
(A'∩B) U (A'∩C') = {b} U { } = {b}
(List of all elements of (A'∩B) and the elements of (A'∩C') which are not present in (A'∩B))
