Answer:1. A' (A prime) is everything that is NOT in A, so it would be anything not in the circle for A (including the intercepts). This means the answer to 1 is 4,6,8,2,and 10.2. B', so anything that is not in B - 1,7 and 23. AnB (A intersect B) this is anything that is in BOTH a AND b, so everything in the middle section or the section between A and B. this would be just 3.4. AUB (A union B) this is EVERYTHING in both A and B - so everything in the A and B circles - 1,7,3,10,4,6, and 8.5. A' UB (A prime union B) - this is everything that is NOT in A and B (basically everything in C thats not in A and everything in B thats not in A) - 4,6 and 8.6. An(BUC) (A intersect of B union C) this is everything that is both in A and B and C. (remember it MUST also be in A) - 3 and 7 only is the answer 7. AU (BnC) - this is A plus everything that is in the section between B and C (so basically any number that is in all three sets) - nothing fits these criteria as there is nothing in the center section. 8. An(BUC') this one is a little harder to understand. C' is everything that is NOT in the C circle, so EVERYTHING in A and EVERYTHING in B. The intercept of An (BUC') would be 1 and 3 since A is included in C prime. Im sorry I dont explain these well but basically understand these things:If a letter has a ' after it ( for example A'), it means everything EXCEPT what is in that set. the U means UNION. An easy way to remember what to do is that in a Union things come together, so for example if you are asked AUB, you should list EVERYTHING in both set A and set B. n means INTERSECTION. An easy way to remember this is that an intersection (like on the road) is when two things cross paths. When you are asked AnB, you are being asked any number that is in BOTH A and B.