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Exercise 3

Avg difficulty 3.0

Let the sets

S\displaystyle S ={x∈Q∣x∈(−∞,0]} and\displaystyle=\{x\in\mathbb{Q}\mid x\in(-\infty,0]\}\text{ and} T\displaystyle T ={y∈Z∣y∈[−2,10] and y is an even number}.\displaystyle=\{y\in\mathbb{Z}\mid y\in[-2,10]\text{ and }y\text{ is an even number}\}.

List the elements in the set S∩TS\cap T.

Kan, A Complete Introduction to Abstract Algebra, Preliminaries, Sets, Exercise 3

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Adapted from A Complete Introduction to Abstract Algebra © 2022–2026 Kan Onn Kit. Licensed under CC BY-SA 4.0. Source: A Complete Introduction to Abstract Algebra. Imported at revision a559e8b.