Suppose the universal set is the set of natural numbers N. Consider the sets A = {1,2,3, 4,5,6} and B = {1,3,5, 7, 9}. Determine the following: 1. card(AU B) 2. card(An B) 3. card(B – A) 4. card(A - B) 5. card(A") 6. card(B) 7. card(A U B) 8. card(A n B) 9. card(A U B) 10. card((An B)°) 11. card(P (A)) 12. card(P (B))
Suppose the universal set is the set of natural numbers N. Consider the sets A = {1,2,3, 4,5,6} and B = {1,3,5, 7, 9}. Determine the following: 1. card(AU B) 2. card(An B) 3. card(B – A) 4. card(A - B) 5. card(A") 6. card(B) 7. card(A U B) 8. card(A n B) 9. card(A U B) 10. card((An B)°) 11. card(P (A)) 12. card(P (B))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Suppose the universal set is the set of natural numbers \(\mathbb{N}\). Consider the sets
\[ A = \{1, 2, 3, 4, 5, 6\} \]
and
\[ B = \{1, 3, 5, 7, 9\}. \]
Determine the following:
1. \(\text{card}(A \cup B)\)
2. \(\text{card}(A \cap B)\)
3. \(\text{card}(B - A)\)
4. \(\text{card}(A - B)\)
5. \(\text{card}(A^c)\)
6. \(\text{card}(B^c)\)
7. \(\text{card}(A \cup B^c)\)
8. \(\text{card}(A^c \cap B^c)\)
9. \(\text{card}(A^c \cup B^c)\)
10. \(\text{card}((A \cap B)^c)\)
11. \(\text{card}(P(A))\)
12. \(\text{card}(P(B))\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6195f099-697f-489e-94ae-c77f1a063c08%2F4e3e4d6d-e4e2-4fd6-bbe8-3532da971453%2Ftebocpv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose the universal set is the set of natural numbers \(\mathbb{N}\). Consider the sets
\[ A = \{1, 2, 3, 4, 5, 6\} \]
and
\[ B = \{1, 3, 5, 7, 9\}. \]
Determine the following:
1. \(\text{card}(A \cup B)\)
2. \(\text{card}(A \cap B)\)
3. \(\text{card}(B - A)\)
4. \(\text{card}(A - B)\)
5. \(\text{card}(A^c)\)
6. \(\text{card}(B^c)\)
7. \(\text{card}(A \cup B^c)\)
8. \(\text{card}(A^c \cap B^c)\)
9. \(\text{card}(A^c \cup B^c)\)
10. \(\text{card}((A \cap B)^c)\)
11. \(\text{card}(P(A))\)
12. \(\text{card}(P(B))\)
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