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2.4 Set Builder Notation

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    38461
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    Definition: Set Builder Notation

    There is another way we can write interval notation.  It is called set-builder notation.  Set builder notation is the descriptive definition of the set.

    • x < 4         Interval Notation: (-∞, 4)      Set Builder Notation: {x| x is a real number less than 4}
    • 3 < x < 8   Interval Notation: (3, 8]        Set Builder Notation: {x| x is a real number greater than 3 and less than or equal to 8}
    • > 100      Interval Notation: [100, ∞)   Set Builder Notation: {x | x is a real number greater than or equal to 100}

    2.4 Set Builder Notation is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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