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- https://math.libretexts.org/Under_Construction/Purgatory/MAT_1320_Finite_Mathematics/05%3A_Sets_and_Counting/5.01%3A_Sets_and_CountingA set is a collection of objects, and its members are called the elements of the set. We name the set by using capital letters, and enclose its members in braces.
- https://math.libretexts.org/Courses/Mt._San_Jacinto_College/Ideas_of_Mathematics/03%3A_Set_Theory_and_Logic/3.01%3A_The_BasicsThe concept of sets is a fundamental idea in mathematics. Even at the earliest stage of mathematical reasoning, the idea of sets is being used. As such a fundamental concept, this subject can be stud...The concept of sets is a fundamental idea in mathematics. Even at the earliest stage of mathematical reasoning, the idea of sets is being used. As such a fundamental concept, this subject can be studied on its own as a graduate-level course! Of course, we will not go into such detail as one would expect in such a graduate-level course. Here we will explore some basic definitions and relationships about sets so that we can ultimately apply them to some practical situations.
- https://math.libretexts.org/Bookshelves/Analysis/Introduction_to_Mathematical_Analysis_I_(Lafferriere_Lafferriere_and_Nguyen)/01%3A_Tools_for_Analysis/1.01%3A_Basic_Concepts_of_Set_TheoryIntuitively, a set is a collection of objects with certain properties.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Applied_Finite_Mathematics_(Sekhon_and_Bloom)/07%3A_Sets_and_Counting/7.01%3A_Sets_and_CountingA set is a collection of objects, and its members are called the elements of the set. We name the set by using capital letters, and enclose its members in braces.
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/01%3A_Basics/1.02%3A_SetsThis page offers an overview of sets as key mathematical data structures, detailing their definitions, characteristics, and notations. It emphasizes well-defined sets, membership, and element order ab...This page offers an overview of sets as key mathematical data structures, detailing their definitions, characteristics, and notations. It emphasizes well-defined sets, membership, and element order absence. Through checkpoints, it encourages analysis of set membership and subsets and introduces the empty set concept. Activities are included to explore subset relationships and object membership within sets.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_For_Liberal_Art_Students_2e_(Diaz)/03%3A_Sets/3.01%3A_BasicsAn art collector might own a collection of paintings, while a music lover might keep a collection of CDs. Any collection of items can form a set. A set simply specifies the contents; order is not impo...An art collector might own a collection of paintings, while a music lover might keep a collection of CDs. Any collection of items can form a set. A set simply specifies the contents; order is not important. The set represented by {1, 2, 3} is equivalent to the set {3, 1, 2}. Sometimes a collection might not contain all the elements of a set. For example, Chris owns three Madonna albums. While Chris’s collection is a set, we can also say it is a subset of the larger set of all Madonna albums.
- https://math.libretexts.org/Courses/Coastline_College/Math_C097%3A_Support_for_Precalculus_Corequisite%3A_MATH_C170/1.02%3A_Algebra_Support/1.2.01%3A_Real_Numbers_Linear_Inequalities_and_Interval_NotationThe vertical line | inside the braces reads, “such that” and the symbol ∈ indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all number...The vertical line | inside the braces reads, “such that” and the symbol ∈ indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all numbers ab such that a and b are elements of the set of integers and b is not equal to zero.” Decimals that terminate or repeat are rational.
- https://math.libretexts.org/Courses/Community_College_of_Denver/MAT_1320_Finite_Mathematics_2e/07%3A_Sets_and_Counting/7.01%3A_Sets_and_CountingA set is a collection of objects, and its members are called the elements of the set. We name the set by using capital letters, and enclose its members in braces.
- https://math.libretexts.org/Courses/De_Anza_College/Linear_Algebra%3A_A_First_Course/08%3A_Appendices/8.01%3A_Sets_and_Set_NotationA set is a collection of things called elements. For example {1,2,3,8} would be a set consisting of the elements 1,2,3, and 8. To indicate that 3 is an element of {1,2,3,8}, it is customary to w...A set is a collection of things called elements. For example {1,2,3,8} would be a set consisting of the elements 1,2,3, and 8. To indicate that 3 is an element of {1,2,3,8}, it is customary to write 3∈{1,2,3,8}. We can also indicate when an element is not in a set, by writing 9∉{1,2,3,8} which says that 9 is not an element of {1,2,3,8}. Sometimes a rule specifies a set.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/11%3A_Appendix_-_Prerequisite_Function_Material/11.01%3A_Sets_of_Real_Numbers_and_the_Cartesian_Coordinate_PlaneThis section introduces the sets of real numbers, their properties, and the Cartesian coordinate plane. It covers the classification of numbers (natural, whole, integers, rational, and irrational) and...This section introduces the sets of real numbers, their properties, and the Cartesian coordinate plane. It covers the classification of numbers (natural, whole, integers, rational, and irrational) and explains how to plot points and graph equations on the Cartesian plane. The section also discusses intervals and the distance formula, providing foundational knowledge for working with functions and graphs in Algebra.
- https://math.libretexts.org/Courses/Highline_College/MATHP_141%3A_Corequisite_Precalculus/02%3A_Algebra_Support/2.01%3A_Real_Numbers_Linear_Inequalities_and_Interval_NotationThe vertical line | inside the braces reads, “such that” and the symbol ∈ indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all number...The vertical line | inside the braces reads, “such that” and the symbol ∈ indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all numbers ab such that a and b are elements of the set of integers and b is not equal to zero.” Decimals that terminate or repeat are rational.
