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Mathematics 18 Online
OpenStudy (anonymous):

Solve for x: |x| − 8 = −5

OpenStudy (anonymous):

Do you know how to balance an equation?

OpenStudy (anonymous):

Yes.

OpenStudy (anonymous):

Alright well get x on one side by removing the -8

OpenStudy (anonymous):

-5+8?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

combine both of those you add 8 to both sides making it positive 3

OpenStudy (anonymous):

But can't the x also equal 13?

OpenStudy (anonymous):

its the absolute value of x not the absolute value of the 8

OpenStudy (anonymous):

So which one is it?

OpenStudy (anonymous):

x = −13 and x = −3 x = 3 and x = −3 x = 3 and x = 13 No solution

OpenStudy (zzr0ck3r):

first get it into this form \(|a| = b\) then you have two equations \(a=b\) and \(-a=b\)

OpenStudy (zzr0ck3r):

\(|x|-8=-5\implies|x|=3\implies x = 3, \text{ or } x = -3\)

OpenStudy (anonymous):

well okay there u go then

OpenStudy (anonymous):

Alright, a couple more. Here...

OpenStudy (anonymous):

If you guys can please help with this, I just wanna make srue I understand. Solve for x: -3|x + 7| = -12

OpenStudy (anonymous):

Wait, so no matter what I need to answer the answer always has to equal -12 there?

OpenStudy (zzr0ck3r):

first get it into this form \(|x|= \text{something}\)

OpenStudy (anonymous):

Alright, then what?

OpenStudy (anonymous):

It would be |X+7| = -4

OpenStudy (anonymous):

its the absolute value of x+7. which ix x+7 = -4 and x - 7 = -4. solve for both.

OpenStudy (anonymous):

x = -3 and -11?

OpenStudy (anonymous):

I mean, that's at least what I'm thinking it would be.

OpenStudy (anonymous):

Does anyone here know Chemistry? I just need a little help on a question.

OpenStudy (netlopes1):

\[|x+7|=-4 \rightarrow There \quad are \quad NO \quad Solutions.\]

OpenStudy (anonymous):

Sorry, these are the choices x = 5 over 3, x = −19 over 3 x = −3, x = −11 x = −3, x = 11 No solution

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