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13 April, 19:42

Write the set of real numbers x less than 6 in set builder notation

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  1. 13 April, 20:45
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    {x ∈ R: x<6}

    Step-by-step explanation:

    Given

    x is a real number x is less than 6

    Required

    Write the set using set builder notation

    The very first thing to do is to list out the range of x, using inequalities;

    x is less than 6 implies that - infiniti < x < 6

    The next step is to translate this to set builder. This is done as follows

    x ∈ R - > This means that x is a real number

    x where x is less than 6.

    Bringing these two together, it gives:

    {x ∈ R: x<6}

    Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation
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