SOLUTION: 1-(5-2x) >7x+4(x-1)

Algebra ->  Inequalities -> SOLUTION: 1-(5-2x) >7x+4(x-1)      Log On


   

Question 914775: 1-(5-2x) >7x+4(x-1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1-1%285-2x%29%3E7x%2B4%28x-1%29 Start with the given inequality.


1-5%2B2x%3E7x%2B4x-4 Distribute.


2x-4%3E7x%2B4x-4 Combine like terms on the left side.


2x-4%3E-4%2B11x Combine like terms on the right side.


2x%3E-4%2B11x%2B4 Add 4 to both sides.


2x-11x%3E-4%2B4 Subtract 11x from both sides.


-9x%3E-4%2B4 Combine like terms on the left side.


-9x%3E0 Combine like terms on the right side.


x%3C%280%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%3C0 Reduce.


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

Answer:

So the solution is x%3C0


Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim