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Ch. P - Fundamental Concepts of Algebra
Blitzer - College Algebra 8th Edition
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Tutti i libri di testoBlitzer 8th EditionCh. P - Fundamental Concepts of AlgebraProblema 23
Capitolo 1, Problema 23

Find the intersection of the sets. {s,e,t}∩{t,e,s}

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Identify the two sets given: Set A = \({\{s, e, t\}}\) and Set B = \({\{t, e, s\}}\).
Recall that the intersection of two sets, denoted by \({\cap}\), consists of all elements that are common to both sets.
List the elements of Set A and check which of these elements also appear in Set B.
Since both sets contain the elements \({s}\), \({e}\), and \({t}\), all elements are common to both sets.
Therefore, the intersection \({\{s, e, t\} \cap \{t, e, s\}}\) is the set containing all these common elements.

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Set Theory Basics

Set theory studies collections of distinct objects called sets. Understanding what a set is and how elements are grouped is fundamental to solving problems involving sets, such as finding intersections or unions.
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Intersection of Sets

The intersection of two sets includes all elements that are common to both sets. It is denoted by the symbol ∩. For example, the intersection of {a, b, c} and {b, c, d} is {b, c}.
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Order and Uniqueness in Sets

In sets, the order of elements does not matter, and each element is unique. Thus, {s, e, t} and {t, e, s} represent the same set, which affects how intersections are determined.
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