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l. Perform the following operation on sets.
given:
A = {1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 ,10}
B = {2, 4, 6, 8, 10}
C = {1 ,3 ,5 ,7 ,9}
1, A U C
2, B U C
3, A U B
4, A U B
5, B U C
6, A U C
7, A - C
8, B - C
9, A - B
10, C - A
ll. Answer the following:
given:
set X is the set of months in a year
set Y is the set of months that ends in " ber ".
set Z is the set of months that has 31 days.
Answers & Comments
Verified answer
Answer:
Operations on Sets
U denotes the union of two sets. Read as A union B. Defined as the set that consists of all elements belonging to either set A or set B or both. Intersection is denoted by n. Read as A intersection B. Defined as the set of all elements that
belong to both A and B.
Answers:
3. AB Set B
4. AUB Set A
5. BUC Set A
6. AUC Set A
7. AC Set B =
8. B C = null set
9. AB Set C =
10. CA Set B =
Step-by-step explanation:
Solutions :
3. AB Set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10] compared to Set B = (2, 4, 6, 8, 10}
AB = {2, 4, 6, 8, 10}
AB = Set B
4. AUB Set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, = 10}+ Set B = {2, 4, 6, 8, 10}
AUB={1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
AUB Set A =
5. BU C = Set B = {2, 4, 6, 8, 10] + Set C =
{1, 3, 5, 7, 9}
BUC (1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
BUC Set A
6. AUC Set A= Set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10] + Set C = {1, 3, 5, 7, 9}
AUC={1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
AUC Set A
7. A C Set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} = - Set C = {1, 3, 5, 7, 9}
A-C (2, 4, 6, 8, 10}
A CSet B
8. B-C Set B = {2, 4, 6, 8, 10} - Set C =
{1, 3, 5, 7, 9}
B-C 0 which is a null set9. AB Set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} = Set B = {2, 4, 6, 8, 10} -
A - B={1, 3, 5, 7, 9}
A B Set C
-
10. CA Set C = {1, 3, 5, 7, 9] - Set A = {1, =
2, 3, 4, 5, 6, 7, 8, 9, 10}
C-A (2, 4, 6, 8, 10} =
C-A Set B
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