1. **State the problem:** We are given two sets: - $Q = \{\text{positive multiples of } 3 \text{ that are less than } 10\}$ - $R = \{\text{positive odd numbers less than } 6\}$ We need to find all numbers in the union $Q \cup R$. 2. **Find set $Q$:** Positive multiples of 3 less than 10 are $3, 6, 9$. So, $Q = \{3, 6, 9\}$. 3. **Find set $R$:** Positive odd numbers less than 6 are $1, 3, 5$. So, $R = \{1, 3, 5\}$. 4. **Find the union $Q \cup R$:** The union contains all elements in $Q$ or $R$ without duplicates. $Q \cup R = \{1, 3, 5, 6, 9\}$. 5. **Final answer:** $$Q \cup R = \{1, 3, 5, 6, 9\}$$ This means the combined set includes all these numbers.