Question
let the universal set omega {0,1,2,3,4,5,6,7,8,9,10,11,12,14}, then set A ={0,1,2,3,4,5,}, B={0,3,4,5,6,8,10} and C={1,3,5,6,7,9,14} find 1.A intersection set inverse
Answers
GPT 3.5
The set inverse of a set A, denoted as A^c, is the set of all elements in the universal set that are not in set A.
Given A = {0,1,2,3,4,5}, the set inverse of A, A^c, would be the set of all elements in the universal set omega that are not in A.
Therefore, A^c = {6,7,8,9,10,11,12,14}
Now, the intersection of A with its set inverse, A^c, is the set of all elements that are common to both A and A^c.
A ∩ A^c = { }
There are no elements common to both set A and its set inverse A^c.
Given A = {0,1,2,3,4,5}, the set inverse of A, A^c, would be the set of all elements in the universal set omega that are not in A.
Therefore, A^c = {6,7,8,9,10,11,12,14}
Now, the intersection of A with its set inverse, A^c, is the set of all elements that are common to both A and A^c.
A ∩ A^c = { }
There are no elements common to both set A and its set inverse A^c.