SOLUTION: solve the inequality -2(3+x)<4x+4<8x. Give the result in set notation and graph it.

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Question 145484: solve the inequality -2(3+x)<4x+4<8x. Give the result in set notation and graph it.

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
-2%283%2Bx%29%3C4x%2B4%3C8x


When given A+%3C+B+%3C+C 



Solve  A+%3C+B



Solve  A+%3C+C



Solve  B+%3C+C



Take the intersection of all three solution sets



-6-2x+%3C+4x+%2B+4+%3C+8x+



First solve:



-6-2x+%3C+4x+%2B+4



  -6x+%3C+10

    x+%3E+-5%2F3    



Now solve



4x+%2B+4+%3C+8x

   -4x+%3C+-4

     x+%3E+1



Now solve



 -6-2x+%3C+8x



  -10x+%3C+6

     

     x+%3E+-3%2F5  



The intersection of those three sets is x+%3E+1, for

if we choose x+%3E+1 then the other two x+%3E+-5%2F3

and x+%3E+-3%2F5 are automatically satisfied.



Answer:  x > 1 or in interval notation  (1,infinity)