SOLUTION: Please help me solve the inequality. -3 < -3x + 8 < 11

Algebra ->  Linear-equations -> SOLUTION: Please help me solve the inequality. -3 < -3x + 8 < 11      Log On


   

Question 945678: Please help me solve the inequality.
-3 < -3x + 8 < 11
Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The only meaningful distinction between this one and your other one is that here you will divide by a negative number. This reverses the direction or order.

(NOTICE: Other tutor GAVE you the steps.)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve the inequality.
-3 < -3x + 8 < 11
add(-8)
-11<-3x<3
divide by (-3) and reverse inequality signs
11/3 > x > -1
-1 < x < 11/3
solution: (-1,11/3)