Answer
A'∩(BUC')= {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'∩(BUC'), 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, BUC'={b,g,h} U {a,g,h} ={a,b,g,h}
(List of all elements in B and the elements of C' which are not in B)
Now, A'∩(BUC')={b,c,d,e,f} ∩ {a,b,g,h} = {b}
(Common elements of A' and (BUC'))
