Let's solve each operation step by step:
AUB (Union of A and B):
To find AUB (the union of A and B), we need to combine all the elements from both sets, A and B. However, we need to ensure that there are no duplicates.
A = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47}
B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48}
By combining the elements from both sets, we have:
AUB = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}
AUC (Union of A and C):
Similarly, to find AUC, we need to combine the elements from sets A and C.
A = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47}
C = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47}
By combining the elements from both sets, we have:
AUC = {1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47}
A-C (Set subtraction of C from A):
To find A-C, we need to remove the elements in set C from set A.
A = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47}
C = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47}
By removing the elements from set C from set A, we have:
A-C = {1, 9, 15, 21, 25, 27, 33, 35, 39, 45}
BUC (Union of B and C):
To find BUC, we need to combine the elements from sets B and C.
B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48}
C = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47}
By combining the elements from both sets, we have:
BUC = {2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 22, 23, 24, 26, 28, 29, 30, 31, 32, 34, 36, 37, 38, 40, 41, 42, 43, 44, 46, 47, 48}
AnD (Intersection of A and D):
To find AnD, we need to find the common elements between sets A and D.
A = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47}
D = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48}
By comparing the elements from both sets, we have:
AnD = {3, 9, 15, 21, 27, 33, 39, 45}
I hope this helps! If you have any further questions, please let me know.