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

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

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Question 145944: Solve;

%284%2F5%29%282x-1%29%3E12

Answer by jim_thompson5910(21667) 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

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Answer:
So our answer is x%3E8


So the answer in interval notation is


Here's the graph of the solution set

drawing%28500%2C80%2C-2%2C+18%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-2%2C+18%29%2C%0D%0A%0D%0Aarrow%288%2C0%2C18%2C0%29%2C%0D%0Aarrow%288%2C0.30%2C18%2C0.30%29%2C%0D%0Aarrow%288%2C0.15%2C18%2C0.15%29%2C%0D%0Aarrow%288%2C-0.15%2C18%2C-0.15%29%2C%0D%0Aarrow%288%2C-0.30%2C18%2C-0.30%29%2C%0D%0A%0D%0Acircle%288%2C0%2C0.3%29%2C%0D%0Acircle%288%2C0%2C0.3%29%2C%0D%0Acircle%288%2C0%2C0.3%29%2C%0D%0Acircle%288%2C0%2C0.3-0.02%29%0D%0A%29

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