# 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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