SOLUTION: Solve each compound inequality. -6 < 2x - 4 < 12

Algebra ->  Algebra  -> Inequalities -> SOLUTION: Solve each compound inequality. -6 < 2x - 4 < 12      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 210313: Solve each compound inequality.
-6 < 2x - 4 < 12
Answer by jim_thompson5910(21671) About Me  (Show Source):
You can put this solution on YOUR website!
-6%3C2x-4%3C12 Start with the given compound inequality.


-6%2B4%3C2x%3C12%2B4 Add 4 to all sides.


-2%3C2x%3C12%2B4 Combine like terms on the left side.


-2%3C2x%3C16 Combine like terms on the right side.


%28-2%29%2F2%3Cx%3C%2816%29%2F2 Divide all sides by 2.


-1%3Cx%3C8 Reduce.


So the solution is -1%3Cx%3C8