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OpenStudy (imstuck):
The best way to do these is to pretend that the inequality sign is an equals sign; takes off some of the pressure. WE can change it back when we are done with it.
OpenStudy (imstuck):
In an equation, you would begin by subtracting the 3b over to the other side, so let's do that:
OpenStudy (imstuck):
\[-ax=5-3b\]
OpenStudy (imstuck):
Now to solve for x you will divide by -a:\[x=\frac{ 5-3b }{ -a }\]
OpenStudy (imstuck):
Now a couple of things here going back to the inequality thing. When you divide by a negative number you know that the direction of the sign changes. So we will do that now:
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OpenStudy (imstuck):
\[x <\frac{ 5-3b }{ -a }\]
OpenStudy (anonymous):
ok
OpenStudy (imstuck):
And then the negative in with the a changes the sign in the "5-3b" to a positive one, like this:
OpenStudy (imstuck):
\[x <-\frac{ 5+3b }{ a }\]
OpenStudy (imstuck):
And that's it!
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