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- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_(Levin)/0%3A_Introduction_and_Preliminaries/0.3%3A_SetsThe most fundamental objects we will use in our studies (and really in all of math) are sets. Much of what follows might be review, but it is very important that you are fluent in the language of set ...The most fundamental objects we will use in our studies (and really in all of math) are sets. Much of what follows might be review, but it is very important that you are fluent in the language of set theory. Most of the notation we use below is standard, although some might be a little different than what you have seen before. For us, a set will simply be an unordered collection of objects.
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/Professor's_Playground/MAT_206.5_Intermediate_Algebra_and_Precalculus_alpha/1.3%3A_LogicTwo of the most subtle words in the English language are the words “and” and “or.” One has only three letters, the other two, but it is absolutely amazing how much confusion these two tiny words can c...Two of the most subtle words in the English language are the words “and” and “or.” One has only three letters, the other two, but it is absolutely amazing how much confusion these two tiny words can cause. Our intent in this section is to clear the mystery surrounding these words and prepare you for the mathematics that depends upon a thorough understanding of the words “and” and “or.”
- https://math.libretexts.org/Courses/Coastline_College/Math_Concurrent_Support_(Tran)/11%3A_Math_Support_for_Statistics/11.05%3A_Sets/11.5.01%3A_Set_NotationA set is just a collection of items and there are different ways of representing a set. We want to be able to both read the various ways and be able to write down the representation ourselves in order...A set is just a collection of items and there are different ways of representing a set. We want to be able to both read the various ways and be able to write down the representation ourselves in order to best display the set. We have already seen how to represent a set on a number line, but that can be cumbersome, especially if we want to just use a keyboard.
- https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/Discrete_Structures/02%3A_Logical_Reasoning/2.03%3A_Open_Sentences_and_SetsIf \(A\)is a set and \(y\) is one of the objects in the set \(A\), we write \(y \in A\) and read this as “\(y\) is an element of \(A\)” or “\(y\) is a member of \(A\).” For example, if \(B\) is the se...If \(A\)is a set and \(y\) is one of the objects in the set \(A\), we write \(y \in A\) and read this as “\(y\) is an element of \(A\)” or “\(y\) is a member of \(A\).” For example, if \(B\) is the set of all integers greater than 4, then we could write \(5 \in B\) and \(10 \in B\).
- https://math.libretexts.org/Workbench/Math_C096%3A_Support_for_Statistics_Corequisite%3A_MATH_C160_(Tran)/06%3A_Sets/6.01%3A_Set_NotationA set is just a collection of items and there are different ways of representing a set. We want to be able to both read the various ways and be able to write down the representation ourselves in order...A set is just a collection of items and there are different ways of representing a set. We want to be able to both read the various ways and be able to write down the representation ourselves in order to best display the set. We have already seen how to represent a set on a number line, but that can be cumbersome, especially if we want to just use a keyboard.
- https://math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_(Arnold)/01%3A_Preliminaries/1.03%3A_LogicTwo of the most subtle words in the English language are the words “and” and “or.” One has only three letters, the other two, but it is absolutely amazing how much confusion these two tiny words can c...Two of the most subtle words in the English language are the words “and” and “or.” One has only three letters, the other two, but it is absolutely amazing how much confusion these two tiny words can cause. Our intent in this section is to clear the mystery surrounding these words and prepare you for the mathematics that depends upon a thorough understanding of the words “and” and “or.”
- https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/A_First_Journey_Through_Linear_Algebra/09%3A_Appendices/9.01%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/De_Anza_College/Linear_Algebra%3A_A_First_Course/08%3A_AppendicesThis page explains that a set is a collection of elements exemplified by {1,2,3,8}. Membership in a set is indicated with the symbol ∈, while non-membership is shown with ∉. Additionally, sets can be ...This page explains that a set is a collection of elements exemplified by {1,2,3,8}. Membership in a set is indicated with the symbol ∈, while non-membership is shown with ∉. Additionally, sets can be defined using specific rules.
- https://math.libretexts.org/Courses/Lake_Tahoe_Community_College/A_First_Course_in_Linear_Algebra_(Kuttler)/10%3A_Some_Prerequisite_Topics/10.01%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/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 \(\in\) 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 \(\in\) indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all numbers \(\frac{a}{b}\) 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/Borough_of_Manhattan_Community_College/MAT_206_Precalculus/1.3%3A_LogicTwo of the most subtle words in the English language are the words “and” and “or.” One has only three letters, the other two, but it is absolutely amazing how much confusion these two tiny words can c...Two of the most subtle words in the English language are the words “and” and “or.” One has only three letters, the other two, but it is absolutely amazing how much confusion these two tiny words can cause. Our intent in this section is to clear the mystery surrounding these words and prepare you for the mathematics that depends upon a thorough understanding of the words “and” and “or.”
