MATH 121: ALGEBRA AND TRIGONOMETRY - Sets

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These flashcards cover key concepts regarding sets, their properties, and operations as discussed in the lecture notes for MATH 121.

Last updated 7:43 PM on 2/4/26
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10 Terms

1
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A set is a __ collection of objects.

well-defined

2
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If a is an object in the set A, we say that a is an __ of A.

element

3
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The notation for an element a in A is __.

a ∈ A

4
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The set that does not have any elements is called the __ set.

empty set or null set

5
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A set containing one element is called a __ set.

singleton set

6
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The union of two sets A and B, denoted by __, is the set of elements that are in either A or B or in both.

A ∪ B

7
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The intersection of two sets A and B, denoted by __, contains those elements that are in both A and B.

A ∩ B

8
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The difference of sets A and B, denoted by __, contains elements that are in A but not in B.

A \ B

9
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The power set of S, denoted by __, is the set of all subsets of S.

P(S)

10
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The __ of two sets A and B, denoted by A △ B, is defined as (A \ B) ∪ (B \ A).

symmetric difference