SOLUTION: I need help. I need to sue builder notation to describe the complete solution. for 35-(4x+5)<2(x+2)+x. Can some explain to me how to work this problem and how I got the problem in

Algebra ->  Inequalities -> SOLUTION: I need help. I need to sue builder notation to describe the complete solution. for 35-(4x+5)<2(x+2)+x. Can some explain to me how to work this problem and how I got the problem in       Log On


   

Question 224971: I need help. I need to sue builder notation to describe the complete solution. for 35-(4x+5)<2(x+2)+x. Can some explain to me how to work this problem and how I got the problem in details. Am a very slow learner and I just want to understand it. Please
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

35-%284x%2B5%29%3C2%28x%2B2%29%2Bx Start with the given inequality.


35-4x-5%3C2x%2B4%2Bx Distribute.


-4x%2B30%3C2x%2B4%2Bx Combine like terms on the left side.


-4x%2B30%3C3x%2B4 Combine like terms on the right side.


-4x%3C3x%2B4-30 Subtract 30 from both sides.


-4x-3x%3C4-30 Subtract 3x from both sides.


-7x%3C4-30 Combine like terms on the left side.


-7x%3C-26 Combine like terms on the right side.


x%3E%28-26%29%2F%28-7%29 Divide both sides by -7 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E26%2F7 Reduce.


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

Answer:

So the solution is x%3E26%2F7


Which approximates to x%3E3.714


So the answer in set-builder notation is