SOLUTION: help solve don't understand -4x+5<5x+9

Algebra ->  Expressions -> SOLUTION: help solve don't understand -4x+5<5x+9      Log On


   

Question 640988: help solve don't understand
-4x+5<5x+9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-4x%2B5%3C5x%2B9 Start with the given inequality.


-4x%3C5x%2B9-5 Subtract 5 from both sides.


-4x-5x%3C9-5 Subtract 5x from both sides.


-9x%3C9-5 Combine like terms on the left side.


-9x%3C4 Combine like terms on the right side.


x%3E%284%29%2F%28-9%29 Divide both sides by -9 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E-4%2F9 Reduce.


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

Answer:

So the solution is x%3E-4%2F9