1. **State the problem:** Find the intersection and union of sets \(M = \{1, 3, 5, 7, 9, 11, 13, 15, 17, 19\}\) and \(N = \{3, 6, 9, 11, 13\}\). 2. **Recall definitions:** - Intersection \(M \cap N\) is the set of elements common to both \(M\) and \(N\). - Union \(M \cup N\) is the set of all elements in either \(M\) or \(N\) or both. 3. **Find \(M \cap N\):** - Elements in \(N\) are \(3, 6, 9, 11, 13\). - Check which are in \(M\): \(3\) (yes), \(6\) (no), \(9\) (yes), \(11\) (yes), \(13\) (yes). - So, \(M \cap N = \{3, 9, 11, 13\}\). 4. **Find \(M \cup N\):** - Combine all unique elements from both sets: \(M = \{1, 3, 5, 7, 9, 11, 13, 15, 17, 19\}\) \(N = \{3, 6, 9, 11, 13\}\) - Union is \(\{1, 3, 5, 6, 7, 9, 11, 13, 15, 17, 19\}\). **Final answers:** $$M \cap N = \{3, 9, 11, 13\}$$ $$M \cup N = \{1, 3, 5, 6, 7, 9, 11, 13, 15, 17, 19\}$$