SOLUTION: solve the inequality -4<-3y+2<11

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Question 730124: solve the inequality -4<-3y+2<11
Answer by Edwin McCravy(20054) About Me  (Show Source):
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-4 < -3y + 2 < 11

Add -2 to all three sides:


-4 < -3y + 2 < 11
-2       - 2   -2
-----------------
-6 < -3y     <  9

Now we have

-6 < -3y < 9  

We divide all three sides by -3 remembering to
reverse the inequality because we have divided
by a negative number:

%28-6%29%2F%28-3%29 > %28-3y%29%2F%28-3%29 > 9%2F%28-3%29

    2 > y > -3

which can be left that way or written smallest to largest

  -3 < y < 2, which is often abbreviated as (-3,2), known
as "interval notation".

Edwin