how do you write this x7 or x

Question

how do you write this x>7 or x<0 into a interval notation?

anonymous · Answer

Okay, so let's start with x<0
How do you do that part?

anonymous · Answer

I am trying to get the solution set, so i can graph it

anonymous · Answer

Alright, what's the interval notation for
x<0?

anonymous · Answer

This was my problem 
2|2x-7|+4>18
and the answer I came up with was x>7 or x<0 and I was needing a little help to write them as a solution set

anonymous · Answer

Yep. So how you you write the x<0 part?

anonymous · Answer

lol I am not sure :)

anonymous · Answer

Okay, so, x can be less than zero. Can it include zero?

anonymous · Answer

would it (infinate,0)?

anonymous · Answer

Not quite. It would have to be negative infinite. Do you know why?

anonymous · Answer

no it can't include 0 because its not great than are equal to

anonymous · Answer

$$(-\infty,0) \cup $$
Okay, so we have this so far.

anonymous · Answer

because x is less than 0 right?

anonymous · Answer

Which says -infinite to zero, but not zero.
If it included zero it would be like:
(-infinite, 0] with the bracket

Okay, so lets do the other part.

anonymous · Answer

x>7
What would that look like?

anonymous · Answer

then we have x>7 which i think it would be (infinate,7) sorry i am not sure how to the infinate sign lol

anonymous · Answer

yep, but for this one, you do (7, infinite) since infinite goes beyond seven.

anonymous · Answer

Ok I see where your coming from thanks!!

anonymous · Answer

So yep, you've got it. Altogether it looks like this:
$$(-\infty, 0) \cup (7, \infty)$$

anonymous · Answer

No worries mate.