given the universal set U= {0,1,2,3,4,5,6,7,8} and sets A= {0,2,4,6,8}, B= {1,3,5,7}, C= {6,5,4,3}.
what are the elements in C’ B
C' represents the complement of set C, which includes all the elements in the universal set U that are not included in set C.
To find C', we need to identify the elements in U that are not in set C.
U = {0, 1, 2, 3, 4, 5, 6, 7, 8}
C = {6, 5, 4, 3}
The elements in C' are:
C' = {0, 1, 2, 7, 8}
Now, we need to find the intersection of C' and set B.
B = {1, 3, 5, 7}
The elements in C' ∩ B (intersection of C' and B) are:
C' ∩ B = {1, 7}
Therefore, the elements in C' B are 1 and 7.
To find the elements in C' ∩ B (the intersection of the complement of set C with set B), we need to first find the complement of set C, and then find the intersection with set B.
1. Complement of set C (C'):
The elements in C' are those that are in the universal set U but not in set C.
C' = U - C = {0, 1, 2, 7, 8}
2. Intersection of C' and B (C' ∩ B):
The elements in C' ∩ B are those that are common to both sets C' and B.
C' ∩ B = {1, 7}
Therefore, the elements in C' ∩ B are {1, 7}.