Posted by **Rachale** on Tuesday, June 2, 2009 at 8:00pm.

Write the interval notation corresponding to the set notation

{x | x < –7}.

- Algebra -
**MathMate**, Tuesday, June 2, 2009 at 10:01pm
Since

[-5,8) is the same as {x|-5=<x<8}

we have

{x|x<-7}

in interval notation

[-infinity, -7)

- Algebra -
**Jen**, Tuesday, June 2, 2009 at 11:31pm
Thank you, but why is it

(-infinity -7)?

is it translated to

negative infinity - 7?

- Algebra -
**MathMate**, Tuesday, June 2, 2009 at 11:40pm
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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