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  1. Introduction to Sets - Math is Fun

    • What is a set? Well, simply put, it's a collection. First we specify a common property among "things" (we define this word later) and then we gather up all the "things" that have this common property. For exa… See more

    Notation

    There is a fairly simple notation for sets. We simply list each element (or "member") separated by a comma, and then put some curly brackets around the whole thing: This is the notati… See more

    Math is Fun
    Numerical Sets

    So what does this have to do with mathematics? When we define a set, all we have to specify is a common characteristic. Who says we can't do so with numbers? And so on. … See more

    Math is Fun
    Why Are Sets Important?

    Sets are the fundamental property of mathematics. Now as a word of warning, sets, by themselves, seem pretty pointless. But it's only when we apply sets in different situations d… See more

    Math is Fun
    Some More Notation

    Now you don't have to listen to the standard, you can use something like m to represent a set without breaking any mathematical laws (watch out, you can get πyears in … See more

    Math is Fun
    Equality

    Two sets are equal if they have precisely the same members. Now, at first glance they may not seem equal, so we may have to examine them closely! And the equals sign (=) is u… See more

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  3. Examples of number sets include1:
    • Set of natural numbers, ℕ = {1, 2, 3,...}
    • Set of whole numbers, W = {0, 1, 2, 3,...}
    • Set of integers, ℤ = {..., -3, -2, -1, 0, 1, 2, 3,...}
    • Set of rational numbers, ℚ = {p/q | q is an integer and q ≠ 0}
    • Set of irrational numbers, ℚ' = {x | x is not rational}
    Sets can be represented in three forms2:
    1. Roster Form: Example- Set of even numbers less than 8= {2,4,6}
    2. Statement Form: Example-A = {Set of Odd numbers less than 9}
    3. Set Builder Form: Example: A = {x: x=2n, n ∈ N and 1 ≤ n ≤ 4}
    Learn more:
    Set of natural numbers, ℕ = {1, 2, 3,...} Set of whole numbers, W = {0, 1, 2, 3,...} Set of integers, ℤ = {..., -3, -2, -1, 0, 1, 2, 3,...} Set of rational numbers, ℚ = {p/q | q is an integer and q ≠ 0} Set of irrational numbers, ℚ' = {x | x is not rational}
    www.cuemath.com/algebra/sets/

    Sets can be represented in three forms:

    • Roster Form: Example- Set of even numbers less than 8= {2,4,6}
    • Statement Form: Example-A = {Set of Odd numbers less than 9}
    byjus.com/maths/what-is-a-set/
     
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