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Please solve for the interval notation corresponding to the set notation
{x | x < –7}

  • Algebra -

    See answer to Rachale's question.

  • Algebra -

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

    is it translated to
    negative infinity - 7?

  • Algebra -

    > [-5,8) is the same as {x|-5=<x<8}
    meaning that the square bracket [ includes the lower limit, while the ] includes the upper limit. The limits are separated by a comma.

    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)

  • Algebra -

    Thank you for the explanation!

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