SOLUTION: Solve; {{{(4/5)(2x-1)>12}}}

Algebra ->  Inequalities -> SOLUTION: Solve; {{{(4/5)(2x-1)>12}}}       Log On


   

Question 145944: Solve;

%284%2F5%29%282x-1%29%3E12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%284%2F5%29%282x-1%29%3E12 Start with the given inequality


cross%285%29%28%284%2Fcross%285%29%29%282x-1%29%29%3E%285%29%2812%29 Multiply both sides by 5.


4%282x-1%29%3E60 Multiply.


2x-1%3E60%2F4 Divide both sides by 4.


2x-1%3E15 Divide.


2x%3E15%2B1Add 1 to both sides


2x%3E16 Combine like terms on the right side


x%3E%2816%29%2F%282%29 Divide both sides by 8 to isolate x



x%3E8 Divide

--------------------------------------------------------------
Answer:
So our answer is x%3E8


So the answer in interval notation is


Here's the graph of the solution set



note: there is an open circle at x=8 which means we're excluding that value from the solution set.