1. The problem: Given two sets \( A = \{2,4,6,8,10\} \) and \( B = \{1,3,5,7,9\} \), find a universal set that contains both sets.\n\n2. A universal set is a set that contains all elements under consideration, including the elements of sets \(A\) and \(B\).\n\n3. Since \(A\) contains even numbers from 2 to 10 and \(B\) contains odd numbers from 1 to 9, the universal set must contain all these numbers.\n\n4. Combine all elements from \(A\) and \(B\): \( \{1,2,3,4,5,6,7,8,9,10\} \).\n\n5. Therefore, one possible universal set containing both \(A\) and \(B\) is \( U = \{1,2,3,4,5,6,7,8,9,10\} \).