SOLUTION: Solve using the addition and multipication principles. 6 - 6x > 1 - 5x The solution set is {x|x __and ___

Algebra ->  Algebra  -> Inequalities -> SOLUTION: Solve using the addition and multipication principles. 6 - 6x > 1 - 5x The solution set is {x|x __and ___      Log On

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Question 150611: Solve using the addition and multipication principles.
6 - 6x > 1 - 5x
The solution set is {x|x __and ___
Answer by jim_thompson5910(21684) About Me  (Show Source):
You can put this solution on YOUR website!

6-6x%3E1-5x Start with the given inequality.


-6x%3E1-5x-6 Subtract 6 from both sides.


-6x%2B5x%3E1-6 Add 5x to both sides.


-x%3E1-6 Combine like terms on the left side.


-x%3E-5 Combine like terms on the right side.


x%3C%28-5%29%2F%28-1%29 Divide both sides by -1 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C5 Reduce.


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Answer:

So the answer is x%3C5


So the solution set is


Also, the answer in interval notation is


Here's the graph of the solution set

drawing%28500%2C80%2C-5%2C+15%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-5%2C+15%29%2C%0D%0A%0D%0A%0D%0Aarrow%285%2C0%2C-5%2C0%29%2C%0D%0Aarrow%285%2C0.30%2C-5%2C0.30%29%2C%0D%0Aarrow%285%2C0.15%2C-5%2C0.15%29%2C%0D%0Aarrow%285%2C-0.15%2C-5%2C-0.15%29%2C%0D%0Aarrow%285%2C-0.30%2C-5%2C-0.30%29%2C%0D%0A%0D%0A%0D%0A%0D%0A%0D%0Acircle%285%2C0%2C0.3%29%2C%0D%0Acircle%285%2C0%2C0.3%29%2C%0D%0Acircle%285%2C0%2C0.3%29%2C%0D%0Acircle%285%2C0%2C0.3-0.02%29%0D%0A%29