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