1. **State the problem:** We are given two sets: - $R = \{\text{all positive odd numbers}\}$ - $T = \{\text{factors of } 24\}$ We need to find the intersection $R \cap T$, which means all numbers that are both in $R$ and $T$. 2. **Recall definitions:** - Positive odd numbers are numbers like 1, 3, 5, 7, 9, ... - Factors of 24 are numbers that divide 24 exactly without remainder. 3. **Find factors of 24:** The factors of 24 are: $$1, 2, 3, 4, 6, 8, 12, 24$$ 4. **Identify which factors are positive odd numbers:** From the list above, the odd numbers are $1$ and $3$. 5. **Therefore, the intersection $R \cap T$ is:** $$R \cap T = \{1, 3\}$$ These are the numbers that are both positive odd numbers and factors of 24.