1. **State the problem:** We are given two sets, Tulips and Flowers, with Tulips completely inside Flowers, and we need to write a statement about their relationship using "all," "some," or "no." Then, determine if the statement is true or false and write its negation if false. 2. **Analyze the diagram:** Since the Tulips circle is completely inside the Flowers circle, every tulip is a flower. This means Tulips is a subset of Flowers, or mathematically, $$\text{Tulips} \subseteq \text{Flowers}$$. 3. **Choose the correct statement:** From the options: - A. All flowers are tulips. (False, because Flowers include more than just Tulips.) - B. All tulips are flowers. (True, matches the subset relationship.) - C. No tulips are flowers. (False, contradicts the diagram.) - D. Some flowers are tulips. (True but less precise than B.) - E. Some tulips are flowers. (True but less precise than B.) The best and most precise statement is **B. All tulips are flowers.** 4. **Determine truth value:** Statement B is true because the diagram shows Tulips inside Flowers. 5. **Negation:** Since the statement is true, no negation is needed. **Final answer:** B. All tulips are flowers. This statement is true.