Set builder notation

Set builder notation

Lessons

A set is a collection of elements (usually numbers)

E.g. {x∈R∣xx \in R | x > 0} should be read as “the set of all x’s that are an element of the real numbers such that x is greater than 0.”

Special symbols:

- RR = real numbers

- ZZ = integers

- NN = natural numbers

- QQ = rational numbers

- CC = complex numbers

- II = imaginary numbers

  • Introduction
    Introduction to Set Builder Notation

    i. What are sets?

    ii. Why do we need set builder notations?

  • 1.
    Translating Intervals On Number Lines Into Set Builder Notation Form

    Translate the following intervals into set builder notation form.

    a)
    Translating Intervals On Number Lines Into Set Builder Notation Form

    b)
    Translating Intervals On Number Lines Into Set Builder Notation Form

    c)
    Translating Intervals On Number Lines Into Set Builder Notation Form

    d)
    Translating Intervals On Number Lines Into Set Builder Notation Form

  • 2.
    Evaluating the Domains of Expressions in Set Builder Notation Form

    What are the domains for the following expressions? Write the answers in set builder notation form.

    a)
    1x\frac{1}{x}

    b)
    x\sqrt x

    c)
    2x2−4\frac{2}{x^{2} - 4}

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9.
Set Theory
9.1
Set notation
9.2
Set builder notation
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