SOLUTION: SOLVE: -3<3-2X<97

Algebra ->  Inequalities -> SOLUTION: SOLVE: -3<3-2X<97      Log On


   

Question 776682: SOLVE: -3<3-2X<97
Found 2 solutions by fcabanski, MathTherapy:
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
You can solve each inequality separately, or solve them at the same time. Flip the inequality sign if you multiply or divide by a negative.


-3 < 3-2x < 97 : subtract 3 from each expression.


-6 < -2x < 94: divide each expression by -2.


3 < x < -47


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

SOLVE: -3<3-2X<97

-+3+%3C+3+-+2x+%3C+97

-+6+%3C+-+2x+%3C+94 ----- Subtracting 3

%28-+6%29%2F-+2+%3E+%28-+2x%29%2F-+2+%3E+94%2F-+2 ----- Dividing by - 2, which CHANGES the inequality signs

3+%3E+x+%3E+-+47 ----- highlight_green%28-+47+%3C+x+%3C+3%29

You can do the check!!

Further help is available, online or in-person, for a fee, obviously. Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com