SOLUTION: 9) Solve 0.8x+8 <= 1.2x-9

Algebra ->  Algebra  -> Inequalities -> SOLUTION: 9) Solve 0.8x+8 <= 1.2x-9      Log On

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

   


Question 146900: 9) Solve
0.8x+8 <= 1.2x-9

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

0.8x%2B8%3C=1.2x-9 Start with the given inequality.


10%280.8x%2B8%29%3C=10%281.2x-9%29 Multiply both sides by 10 to clear out the decimals.


8x%2B80%3C=12x-90 Distribute and multiply.


8x%3C=12x-90-80 Subtract 80 from both sides.


8x-12x%3C=-90-80 Subtract 12x from both sides.


-4x%3C=-90-80 Combine like terms on the left side.


-4x%3C=-170 Combine like terms on the right side.


x%3E=%28-170%29%2F%28-4%29 Divide both sides by -4 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E=85%2F2 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is x%3E=85%2F2


Which approximates to x%3E=42.5