SOLUTION: {{{-x<2x+3<-8x+3}}}

Question 151259:

Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!





Procedure for 

1. Solve 
2. Solve 
3. Solve 

Put all three on number lines and take 
what is common to all three number
lines:

Solve the first two only:



Add +x to both sides:





Add -3 to both sides:





Divide through by +3 (doesn't reverse inequality)



which is the same as 

Draw the graph of that on a number line:

---------------------------------------------


Next solve the second and third only:

 

Add -3 to all three sides:





Add +8x to both sides:





Divide both sides by 10:



----







Divide both sides by -9 (reverses the inequality)



So that gave us the same inequality as the second.

Therefore we have only these two inequalities:

  and 

They can be written together as

 or in interval notation as (-1,0).

Edwin

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