SOLUTION: Please help me Solve -1&#8804;2-3x<8

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Question 896600: Please help me Solve -1≤2-3x<8
Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
   -1 ≤ 2-3x < 8

Solve for x in the middle

   -1 ≤ 2-3x < 8   Get rid of the 2 in the middle by adding -2 to all 3 sides
   -2  -2     -2
   -------------
   -3 ≤  -3x < 6   

Divide all three sides by -3 to get just x in the middle.  But
remember, dividing through by a negative reverses the inequality

   %28-3%29%2F%28-3%29%3E=%28-3x%29%2F%28-3%29%3E6%2F%28-3%29

   1%3E=x%3E-2

To get the inequality symbols back in the same direction, write 
it "in the mirror":

   -2%3Cx%3C=1

Edwin

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me Solve -1≤2-3x<8


-+1+%3C=+2+-+3x+%3C+8

-+1+-+2+%3C=+-+2+%2B+2+-+3x+%3C+8+-+2 ------ Subtracting 2

-+3+%3C=+-+3x+%3C+6

%28-3%29%2F%28-3%29+%3C=+%28-3x%29%2F%28-3%29+%3C+6%2F%28-3%29

1+%3E=+x+%3E+-+2 ------ Dividing by negative value changes INEQUALITY signs

highlight_green%28highlight_green%28-+2+%3C+x+%3C=+1%29%29 ----- Rearranging compound inequality