Question 3: Let \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,4,6,8,10\}\), \(B=\{1,2,3,4,5\}\) and \(C=\{1,3,5,7,9\}\)
List the members of each of the following sets:
\((v)\) \(\;\) \(A\cap C \)
Solution:
\(A\cap C =\{2,4,6,8,10\}\cap \{1,3,5,7,9\}\)
\(\ \ \ \ \ \ \ \ \ \ \ =\{\}\)
Explanation:
Intersection \(\cap\) means the common elements in both sets.
Tips for Students:
- Use a highlighter or circle common elements in both lists.
- Always write sets in increasing order for easier comparison.