Algebra

Write the interval notation corresponding to the set notation

{x | x < –7}.

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  1. Since
    [-5,8) is the same as {x|-5=<x<8}
    we have
    {x|x<-7}
    in interval notation
    [-infinity, -7)

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  2. Thank you, but why is it
    (-infinity -7)?

    is it translated to
    negative infinity - 7?

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  3. You are right in actual practice, it is normal to exclude infinity or negative infinity. In my books, -infinity is a short form for negative infinity.

    So the correct answer would be:
    (negative infinity, -7)

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  4. Write the interval notation corresponding to the set notation {x | - 5 < x  4}.

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