Can someone please help me with a problem involving set operations? (A U B) ∩ C'?

Problem: (A U B) ∩ C'





Let U = {a, b, c, d, e, f, g} ; A = {a, b, c, d} ; B = {c, d, e} ; C = {a, d, g}.





This is what I have thus far





(A U B) = {a, b, c, d} U {c, d, e} = {a, b, c, d, e}

Can someone please help me with a problem involving set operations? (A U B) ∩ C'?
C' = Everything that is NOT in C.





(A U B) = {a, b, c, d} U {c, d, e} = {a, b, c, d, e}


C' = {b, c, e, f}





(A U B) ∩ C' = {a, b, c, d, e} ∩ {b, c, e, f} = {b, c, e}
Reply:(A U B) ∩ C'


C'={b,c,e,f} isn't in C but is in U





(A U B) = {a, b, c, d} U {c, d, e} = {a, b, c, d, e}


(A U B)∩ C'={a, b, c, d, e}∩{b,c,e,f}={b,c,e}