1. The first problem is to list and provide set builder form for even integers between 60 and 73. 2. First, list even integers between 60 and 73. Even integers are multiples of 2. 3. Start at 60 (which is even), and list the even numbers up to but not exceeding 73: $$60, 62, 64, 66, 68, 70, 72$$ 4. The roster form (set notation listing elements) is: $$\{60, 62, 64, 66, 68, 70, 72\}$$ 5. The set builder form describes the set by a rule. For even integers between 60 and 73: $$\{x \mid x \text{ is even}, 60 \leq x \leq 73\}$$ 6. The second problem is to list and provide set builder form for integers between 1 and 50. 7. List integers between 1 and 50 (inclusive): $$1, 2, 3, 4, ..., 48, 49, 50$$ 8. Roster form for this set is: $$\{1, 2, 3, ..., 49, 50\}$$ 9. Set builder form for integers between 1 and 50: $$\{x \mid x \in \mathbb{Z}, 1 \leq x \leq 50\}$$ Final answers: - Even integers between 60 and 73 (roster): $$\{60, 62, 64, 66, 68, 70, 72\}$$ - Even integers between 60 and 73 (set builder): $$\{x \mid x \text{ is even}, 60 \leq x \leq 73\}$$ - Integers between 1 and 50 (roster): $$\{1, 2, 3, ..., 49, 50\}$$ - Integers between 1 and 50 (set builder): $$\{x \mid x \in \mathbb{Z}, 1 \leq x \leq 50\}$$