Mathematics
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OpenStudy (anonymous):
Help me ? :) Pre calculus.
Solve the inequality. Please explain
-1< -x+ 7 < 10
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OpenStudy (lgbasallote):
try subtracting 7 to ALL sides and tell me what you get
OpenStudy (anonymous):
-9<-x<3
OpenStudy (lgbasallote):
don't you mean -8 < -x < 3
OpenStudy (anonymous):
oops! i wrote the problem wrong. Its -2 not -1
OpenStudy (anonymous):
how do i make x positive?
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OpenStudy (lgbasallote):
oh okay so you're right.
-9 < -x < 3
now divide everything by -1 and tell me what you get
OpenStudy (anonymous):
9<x<-3
OpenStudy (lgbasallote):
remember...you change the inequality signs when you divide by -1...
OpenStudy (anonymous):
9> x>-3
OpenStudy (lgbasallote):
right
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OpenStudy (anonymous):
Help me with one more?
please
OpenStudy (anonymous):
-6<3-2(x-5)<14
OpenStudy (lgbasallote):
so add 3 to all sides first
OpenStudy (anonymous):
how to i add to the ( )
OpenStudy (anonymous):
should i distribute it?
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OpenStudy (lgbasallote):
subtract 3 to all sides first*
OpenStudy (anonymous):
-9<-2(x-5)<11
OpenStudy (lgbasallote):
now distribute -2 into (x-5)
OpenStudy (anonymous):
-9<-2x+10<11
OpenStudy (lgbasallote):
now subtract 10 to all sides
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OpenStudy (anonymous):
-19<-2x<1
OpenStudy (anonymous):
divide by 2? to get x alone?
OpenStudy (lgbasallote):
now divide everything by -2
OpenStudy (anonymous):
flip the inequality sign too right?
OpenStudy (lgbasallote):
yes
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OpenStudy (anonymous):
19/2 <x<-1/2
OpenStudy (lgbasallote):
you didn't flip the sign
OpenStudy (anonymous):
> >
OpenStudy (lgbasallote):
right
OpenStudy (anonymous):
Thank you so much!