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Mathematics 22 Online
OpenStudy (anonymous):

|2x+5| -1 < 6

hero (hero):

@foxyracer17, try adding 1 to both sides first.

OpenStudy (anonymous):

so it will look like |2x+5| <7

hero (hero):

Yes, so now, you need to apply this rule: \(|x - a| < b\) can be re-written as \(-b < x - a < b\) Can you try re-writing what you have?

OpenStudy (anonymous):

-7<2x-5<7

hero (hero):

Very good. Now add 5 to all sides.

OpenStudy (anonymous):

-7+5<2x-5+5<7+5 -2<2x<12

hero (hero):

Very good. Now divide all sides by 2

hero (hero):

You're dividing by a positive number so there's no need to flip anything

OpenStudy (anonymous):

-1<x<6

hero (hero):

Great job

OpenStudy (anonymous):

is that what the answer look likes

hero (hero):

That's exactly what the answer looks like.

OpenStudy (anonymous):

thanks

hero (hero):

At least algebraically, that's what it looks like. If you have to graph it, you should probably do that as well.

OpenStudy (anonymous):

ok

hero (hero):

lol, you're still here?

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