. If A and B are sets in a universal set U, then AUB=AnB.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.1: Sets
Problem 10E
Related questions
Question
Prove the following
answer #11 only
![11. If A and B are sets in a universal set U, then AUB=AnB.
12. If A,B and C are sets, then A- (BOC)=(A-B)u(A-C).
13. If A,B and C are sets, then A-(BUC)=(A-B) n(A-C).
14. If A,B and C are sets, then (AUB)-C=(A-C)u(B-C).
15. If A,B
and C are sets, then (AnB)-C=(A-C)n(B-C).
16. If A, B and C are sets, then Ax (BUC) = (A x B)U(AXC).
17. If A,B and C are sets, then Ax (BOC) = (A x B) n(Ax C).
18. If A, B and C are sets, then Ax (B-C) = (A x B)-(A x C).
19. Prove that {9":ne Z} = {3":ne Z}, but {9" : ne Z} # {3":n€Z}
20. Prove that {9":ne Q} = {3":ne Q}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd3ec7d8-9c0b-4838-b1ac-98e465a7f0e1%2F076b9d4e-b370-4db3-bb7e-b066b6639318%2F0q19q0b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11. If A and B are sets in a universal set U, then AUB=AnB.
12. If A,B and C are sets, then A- (BOC)=(A-B)u(A-C).
13. If A,B and C are sets, then A-(BUC)=(A-B) n(A-C).
14. If A,B and C are sets, then (AUB)-C=(A-C)u(B-C).
15. If A,B
and C are sets, then (AnB)-C=(A-C)n(B-C).
16. If A, B and C are sets, then Ax (BUC) = (A x B)U(AXC).
17. If A,B and C are sets, then Ax (BOC) = (A x B) n(Ax C).
18. If A, B and C are sets, then Ax (B-C) = (A x B)-(A x C).
19. Prove that {9":ne Z} = {3":ne Z}, but {9" : ne Z} # {3":n€Z}
20. Prove that {9":ne Q} = {3":ne Q}.
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