Subjects set theory

Set Members Bb967F

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1. **Problem Statement:** List out the members of the sets given. 2. **Set a:** $P = \{1, 2, 3, \ldots, 13\}$ means all integers starting from 1 up to 13. 3. **Set b:** $S = \{x \mid x \in \mathbb{Z}, 4 \leq x \leq 9\}$ means all integers $x$ such that $x$ is between 4 and 9 inclusive. 4. **Set c:** $P = \{n \mid n \in \mathbb{Z}, 0 \leq n \leq 6\}$ means all integers $n$ from 0 to 6 inclusive. 5. **Listing members:** - For a: $P = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13\}$ - For b: $S = \{4, 5, 6, 7, 8, 9\}$ - For c: $P = \{0, 1, 2, 3, 4, 5, 6\}$ **Final answers:** - a. $\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13\}$ - b. $\{4, 5, 6, 7, 8, 9\}$ - c. $\{0, 1, 2, 3, 4, 5, 6\}$