SOLUTION: solve -12< equalto 3x-7< equalto -2

Algebra ->  Graphs -> SOLUTION: solve -12< equalto 3x-7< equalto -2      Log On


   



Question 255232: solve
-12< equalto 3x-7< equalto -2

Answer by jsmallt9(3759) About Me  (Show Source):
You can put this solution on YOUR website!
-12+%3C=+3x-7+%3C+-2
I think the easiest way to solve these is to rewrite it as a compound inequality:
-12+%3C=+3x-7 and 3x-7+%3C+-2
Now we solve each of these separately. Adding 7 to each side of both:
-5+%3C=+3x and 3x+%3C+5
Dividing both sides of each by 3 we get:
%28-5%29%2F3+%3C=+x and x+%3C+5%2F3
which is our answer. Or, if we want to write it in the original form:
%28-5%29%2F3+%3C=+x+%3C+5%2F3