A={3,4,5,6,7,8,9} B={4,6,8,10}
C={8,9,10,11}
find the indicated set if A�¿B and AUBUC
is that supposed to say A AND B ?
if so then A AND B = {4,6,8}
A U B U C = {3,4,5,6,7,8,9,10,11)
AuBuC={3,4,5,6,7,8,9,10,11,}
To find the indicated sets, we need to understand the concepts of set operations: intersection (�¿), union (�), and complement (�).
1. A�¿B (Intersection of A and B):
The intersection of two sets A and B (A�¿B) is the set that contains all the elements common to both sets.
Given:
A = {3, 4, 5, 6, 7, 8, 9}
B = {4, 6, 8, 10}
To find A�¿B, we look for the elements that are present in both sets A and B:
A�¿B = {4, 6, 8}
Therefore, A�¿B = {4, 6, 8}.
2. A�B�C (Union of A, B, and C):
The union of three sets A, B, and C (A�B�C) is the set that contains all the elements from each of the sets without repetition.
Given:
A = {3, 4, 5, 6, 7, 8, 9}
B = {4, 6, 8, 10}
C = {8, 9, 10, 11}
To find A�B�C, we combine all three sets together, removing any duplicate elements:
A�B�C = {3, 4, 5, 6, 7, 8, 9, 10, 11}
Therefore, A�B�C = {3, 4, 5, 6, 7, 8, 9, 10, 11}.