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Inequality:

3+6n<-5n-8<=8-3n

 Oct 18, 2018
 #1
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3+6n<-5n-8<=8-3n

 

We have these two inequalities

 

3 + 6n < -5n - 8                  and      -5n - 8 ≤ 8 - 3n

                         add 5n to both sides 

 

3 + 11n <   -8                                  -8 ≤ 8 + 2n

subtract 3 from both sides            subtract 8 from both sides

 

11n < -11                                         -16 ≤ 2n

 

divide both sides by 11                divide both sides by 2

 

n < -1                                               -8 ≤ n

 

So....The interval that solves this is   [ -8 , -1 )       

 

 

 

cool cool cool                                        

 Oct 18, 2018

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