Interval notation of domain:at most -6

- anonymous

Interval notation of domain:at most -6

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- anonymous

@mathmate

- mathmate

|dw:1440459096813:dw|
Does that help?

- anonymous

Kinda but I still don't really know how to write it??

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## More answers

- anonymous

Like for the set notation I got x/x>=-6

- anonymous

Ok let's move onto a different on then?

- mathmate

Interval notation basically gives the lower and upper bounds.
For example, for a range of real numbers between 4 and 6, inclusive, we write
[4,6].
If it is exclusive, we use ( or ) instead, for example, for x>3, then we write
x\(\in\) (3,\(\infty\)), because both 3 and infinity are not included. (Infinity is not a real number).

- anonymous

ok so what would the answer be in this problem? (\[\infty,6\]

- mathmate

Yes, but you need the appropriate brackets around the two numbers (separated by a comma, as you correctly did).

- mathmate

The interval excludes -\(\infty\) but includes -6.
Can you find the appropriate brackets?

- anonymous

I can't fine them in the equation box?

- anonymous

|dw:1440459864333:dw|

- mathmate

The left one should be a (, because -\(\infty\) is not a number, so must be excluded.

- anonymous

Thanks! I dont understand this last one:
4x-8>-12 and 5x-1<=9 in set notation

- mathmate

Have you solved for x yet?

- anonymous

yes x>-1 and 2<=x

- mathmate

Good! Can you show that on a number line?
In interval notation, it would be (-1,2]

- anonymous

|dw:1440460335843:dw|

- mathmate

Good!
For the previous problem in set notation, it would be
\(\{x\in R | -\infty

- anonymous

Thank-you :D!!

- anonymous

What about the 2nd one?

- mathmate

Try it out like the first one, and I can help you correct it if necessary.

- anonymous

I got hold on..

- anonymous

|dw:1440460869976:dw|

- mathmate

Almost,
\(\{x\in R~ | -1

- anonymous

ohh! Sorry :)

- mathmate

Don't worry about it. What's important is that you understand what's being done.
Reading the article will make it more clear.

- anonymous

I do. More or less. I dont get interval notation though?

- anonymous

like 3x-5>17x-1 ??

- mathmate

The article talks about interval notation as well, so you get two birds with one stone! lol

- anonymous

Cool!! Thanks so much for all your help:))

- mathmate

You're welcome! :)

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