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26 November, 08:59

A set X consists of all real numbers greater than or equal to 1. Use set-builder notation to define X.

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  1. 26 November, 09:14
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    We know that

    The standard form of set-builder notation is

    x

    This set-builder notation can be read as "the set of all x such that x (satisfies the condition) ".

    In this problem, there are 2 conditions that must be satisfied:

    1st: x must be a real number

    In the notation, this is written as "x ε R".

    Where ε means that x is "a member of" and R means "Real number"

    2nd: x is greater than or equal to 1

    This is written as "x ≥ 1"

    therefore

    Combining the 2 conditions into the set-builder notation:

    X = x

    the answer is

    X = x ε R and x ≥ 1
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