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 {x5=<x<8}
we have
{xx<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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