Exercise Use the Venn diagram at the right to determine: 1. U 2. A 3. B 4. AUB 5. the set of elements in A but not in B 6. the set of elements in U that are not in B (U-B) 7. the set of elements in both A and B (ANB)
5.If A and B are sets, and A is an element of B does this mean that every element of A is in B, or some element of A is in B, still makes A element of B?
6. (A' ∪ B') means all not in A but in U, AND all not in B but in U. That's {2, 5, 6} ∪ {3, 6, 7, 8} or {2, 5, 6, 7, 8}. Now, (A ∪ B)' means whatever is NOT in both A and B (but is still in U. That's {3, 5, 6, 7, 8}. The intersection of the two sets found above is next. What is in both? {5, 6, 7, 8}. Cheers!
7.The set A ∩ B
A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B.
