Set Theory Homework.
Draw a Venn Diagram to help you answer the following questions.
Let U be the set of integers from 1 to 9. Let A={2,4,6,8} and B={2,3,5,7}. Find:
1. AUB
2. A∩B
3. ~A
4. B’
5. 𝐴̅𝑈𝐵
Let U be the set of integers from 1 to 9. Let A={1,3,5} and B={4,5,6,7}. Find:
6. AU`B
7. ~A∩~B
8. How many elements are in the set ~B
Let U be the set of integers from 0 to 10. Let A={0,2,4,6,8}, B={1,3,5,9}, and C={1,3,5,6}. Find:
9. Find AUBUC
10. Find ~AUB
Answers
1. {2,3,4,5,6,7,8}
2. {2}
3. {1,3,5,7,9}
4. {1,4,6,8,9}
5. {1,2,3,5,7,9}
6. {1,2,3,5,8,9}
7. {2,8,9}
8. 5 elements
9. {0,1,2,3,4,5,6,7,8,9}
10. {1,3,5,7,9,10}