This is correct if the problem asked for (complement of (A intersect B)) U C and not ((complement of A) intersect B) U C.
I'm not sure if I did this one right. Here is the given information..
universe be the set U = {1,2,3...,10}
A = {1,4,7,10}
B = {1,2,3,4,5}
C = {2,4,6,8}
The particular question asks for:
(complement of A intersect B) U C
That "U" is union.
So this is what I did..
If A intersect B is {1,4}, would the complement of A intersect B be {2,3,5,6,7,8,9,10}?
I assumed so so I ended up with:
{2,3,5,6,7,8,9,10} U C
= {2,3,4,5,6,7,8,9,10}
Is this correct? If it is wrong I assume I didn't get the correct complement of A intersect B :S