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Solve the inequality.  SHOW YOUR WORK!

(3)/(2)-(10)/(3)((13)/(2)n-(1)/(3))>=-(1513)/(18)

\(\frac{3}{2}-\frac{10}{3}(\frac{13}{2}n-\frac{1}{3})≥-\frac{1513}{18}\)

 

 I got \(n≤4\) but Idk how I got that step by step or what to do next.

 Sep 11, 2018
edited by KennedyPape  Sep 11, 2018
 #1
avatar+98125 
+2

(3)/(2)-(10)/(3)((13)/(2)n-(1)/(3))>=-(1513)/(18)

 

I'm gonig to assume  that this is :

 

(3/2) - (10/3)[ (13/2)n - (1/3) >=  - (1513/18)  distribute the (10/3)  over the terms in parentheses

 

(3/2) - (130/6)n  +  10/9  >=  - (1513 / 18)      multiply through by LCM  of  2, 6, 9 and 18  = 18

 

27  - 390n + 20  >= - 1513   combine like terms

 

47 - 390n  > = -1513       subtract 47 from  both sides

 

-390n > = -1560    divide both sides by -390  and reverse the ineqaulity sign

 

n <= 4

 

 

 

cool cool cool

 Sep 11, 2018

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