Okay, this question. Hmm sounds familiar if the union of a and b is
![](https://latex.codecogs.com/png.latex?\bg_white \frac{3}{4})
then the intersection of the complement of A and B is just the cresent in B which can be found from the fact that the intersection of A and B is just
![](https://latex.codecogs.com/png.latex?\bg_white \frac{3}{5}+\frac{1}{4}-\frac{3}{4}=\frac{1}{10})
and then to find the intersection of the complement of A and B we do
Part b is like this If A and B are mutually exclusive what happens is that suppose A and B are separate circles that do not touch what we have here is the complement of A is everything outside of A and the intersection of the complement of A and B is just B giving us