SOLUTION: Solve. -8≤3x-7≤-2

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Question 392520: Solve.
-8≤3x-7≤-2

Answer by haileytucki(390) About Me  (Show Source):
You can put this solution on YOUR website!
-8<=3x-7<=-2
Move all terms not containing x from the center section of the interval inequality.
-8+7<=3x<=-2+7
Add 7 to -8 to get -1.
-1<=3x<=-2+7
Add 7 to -2 to get 5.
-1<=3x<=5
Divide each term in the inequality by 3.
-(1)/(3)<=(3x)/(3)<=(5)/(3)
Reduce the expression (3x)/(3) by removing a factor of 3 from the numerator and denominator.
-(1)/(3)<=x<=(5)/(3)
Convert the solution to set notation.
[-(1)/(3),(5)/(3)]