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Mathematics 24 Online
OpenStudy (anonymous):

How do I graph these solution sets? [1/3, 1/2] U [1/2, inf.) ?

terenzreignz (terenzreignz):

We need a number line... with the relevant numbers marked out , of course...|dw:1373900088617:dw|

OpenStudy (anonymous):

Yes :D Sorry, my computer just locked up...

terenzreignz (terenzreignz):

So, mark out [1/3 , 1/2]

OpenStudy (anonymous):

Well... What I'm not sure about, is what to highlight... What to shade, I mean. B/c I'm supposed to shade the solution part. And so.. yeah.

OpenStudy (anonymous):

Hang on...

terenzreignz (terenzreignz):

Well, shade from 1/3 to 1/2, inclusive, since it was a closed interval with the []

terenzreignz (terenzreignz):

|dw:1373900344096:dw|

OpenStudy (anonymous):

Okay. So do I highlight from 1/2 to infinity, also??

terenzreignz (terenzreignz):

You got it :)

terenzreignz (terenzreignz):

And it's a union, so you take them both, and not just where they intersect :D

terenzreignz (terenzreignz):

So essentially, since you had closed intervals, the union is effectively [1/3, infinity)

OpenStudy (anonymous):

Okay... Oh, okay :D I just wasn't sure. I've been having problems with this question, so. I see, then.

OpenStudy (anonymous):

Thank you!!

terenzreignz (terenzreignz):

no problem :)

OpenStudy (anonymous):

I guess @austinL wasn't feeling very algebraic this morning :P

OpenStudy (austinl):

Sorry, I was afk.... :(

OpenStudy (anonymous):

It's ok. I understand. You can't always be there =) Do you agree with @terenzreignz?

terenzreignz (terenzreignz):

I don't.

terenzreignz (terenzreignz):

Yes you do.

OpenStudy (anonymous):

What??

terenzreignz (terenzreignz):

nothin'

OpenStudy (anonymous):

Were you talking to yourself?

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