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OpenStudy (anonymous):
@Michele_Laino
OpenStudy (michele_laino):
starting from inequality: \(8<2b\) I can divide both sides by \(2\) so I can write this:
\[\frac{8}{2} < \frac{{2b}}{2}\]
please simplify
OpenStudy (anonymous):
How? :3
OpenStudy (michele_laino):
what is 8:2=...?
OpenStudy (anonymous):
what does ":" mean?
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OpenStudy (michele_laino):
I mean 8 divided by 2
OpenStudy (anonymous):
4
OpenStudy (michele_laino):
ok! now, what is 2/2=...?
OpenStudy (anonymous):
1
OpenStudy (michele_laino):
ok! so that inequlity is equivalent to this one:
\(4<b\), which caqn be rewritten as below:
\(b>4\)
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OpenStudy (michele_laino):
inequality*
OpenStudy (anonymous):
so then that would be it?
OpenStudy (michele_laino):
oops.. can*
OpenStudy (michele_laino):
please wait, we have to rewrite the second your inequality: \(2b+15<5\)
OpenStudy (anonymous):
Oh
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OpenStudy (michele_laino):
If I subtract 15 to both sides I get:
\(2b+15-15<5-15\) please simplify
OpenStudy (anonymous):
How would I simplify that?
OpenStudy (texaschic101):
keep in mind...since there are no equal signs in your inequalities, that means that the circles are open....that will automatically eliminate 2 of them
OpenStudy (michele_laino):
what is: 15-15=...? and what is 5-15=...?
OpenStudy (anonymous):
0 and -10?
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OpenStudy (michele_laino):
ok!
OpenStudy (anonymous):
:D
OpenStudy (anonymous):
what do you do with the 2b?
OpenStudy (michele_laino):
so we get:
\(2b<-10\)
now I divide both sides by 2, so I write this:
\[\frac{{2b}}{2} < \frac{{ - 10}}{2}\]
OpenStudy (michele_laino):
what is 2/2=...? and what is -10/2=...?
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OpenStudy (michele_laino):
hint:
we get
\(b<-5\)
OpenStudy (michele_laino):
so your set is represented by these inequalities:
\(b>4\) \(or\) \(b<-5\)