I know I posted this question already ,but I posted the wrong one....
Sets A,B and C are subsets of U.
U= positive integers less than 16
A= prime numbers
B= factors of 36
C= multiples of 4
(A intersect B)' INTERSECT C {?}
I meant INTERSECT not union!
My answer: 4,8,12
From the help I've seen given on this, you should not still be having troubles. That said, however,
A = {2,3,5,7,11,13}
B = {1,2,3,4,6,9,12}
C = {4,8,12,16}
(A∩B) = {2,3}
(A∩B)' = {1,4,5,6,7,8,9,10,11,12,13,14,15,16}
(A∩B)'∩C = {4,8,12,16}
Note that C⊆(A∩B)'
What process did you use to get your answer?
To find the solution for the given question, you need to follow these steps:
1. Determine the subsets A, B, and C.
- Set A consists of prime numbers less than 16: {2, 3, 5, 7, 11, 13}.
- Set B includes factors of 36: {1, 2, 3, 4, 6, 9, 12, 18, 36}.
- Set C contains multiples of 4: {4, 8, 12}.
2. Find the intersection between sets A and B. This can be done by finding the common elements between the two sets.
- A ∩ B = {2, 3}
3. Take the complement of the intersection of sets A and B. The complement of a set A is everything in U that is not in A.
- (A ∩ B)' = {1, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
4. Finally, find the intersection of the complement of (A ∩ B) and set C.
- (A ∩ B)' ∩ C = {4, 8, 12}
Therefore, the solution to the question (A ∩ B)' ∩ C = {?}, is {4, 8, 12}.