Answer:
1. A U C = {a, b, c, d, e}
2. B intersect A = {a, b, d}
3. B' = {c, f, g, h}
4. A - (B intersect C') = {a,c}
Step-by-step explanation:
U is a big set with all the letters a through f in it. Set A, B, and C are subsets of U. They have some of the letters in them. You could pick out the contents of set A, for example, from set U. Same with B and C. There's a little bit of overlap between A and B and C.
So for #1, the U shaped symbol means "Union" and you can remember that because of the U shape symbol. "Union" means throw everything in all together. A U C means all of A and all of C all together. But you don't have to write repeats, just list the letters once.
A is {a,b, c, d} and C is {a, e} so A U C is all of both of them:
{a, b, c, d, e}
The upsidedown Usymbol is "intersect" and that is only what the two sets have in common (whats the same) between the two sets.
BintersectA is what is the same in B{b,e,a,d} and A{a,b,c,d}. They both have a, b and d so that is the answer to BintersectA = {a,b,d}
The "apostrophe" looking mark means "Not this set". So B' means NotB. You list everything that is NOT in B. B is {b,e,a,d} so B' is NotB = {c,f,g,h}
The last one has what looks like a minus sign. Thats like normal "takeaway" along with parenthesis, use that normally like grouping/"do this first" and also intersect and Not. So basically all the work, all in one problem.
C = {a,e} so C' is NotC is {b,c,d,f,g,h}
The BintersectC' is what are the same beween B and NotC:
BintersectC' = {b,d}
A take away {b,d}
would be
{a,b,c,d} - {b,d}
= {a,c}