Given:
A = {1, 3, 7, 8, 9}, B = {2, 5, 8, 11}, C = {1, 3, 5, 7, 9}
Required: (A∪C)∩B
Explanation:
First, find A∪C.
A∪C is the set of all elements in A or B.
[tex]\text{ A}\cup C=\lbrace1,3,5,7,8,9\rbrace[/tex]Now, take the intersection of A∪C with the set B.
The intersection of two sets A and B is the set of elements common in both sets A and B.
The elements common in A∪C and B are 5 and 8.
[tex](A\cup C)\cap B=\lbrace5,8\rbrace[/tex]Final Answer: (A∪C)∩B = {5, 8}
