SOLUTION: Solve using the addition and multiplication principles. 3.5x+23.6 > 59.0-8.3x

Algebra ->  Inequalities -> SOLUTION: Solve using the addition and multiplication principles. 3.5x+23.6 > 59.0-8.3x       Log On


   

Question 158280: Solve using the addition and multiplication principles.
3.5x+23.6 > 59.0-8.3x

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3.5x%2B23.6%3E59.0-8.3x Start with the given inequality.


10%283.5x%2B23.6%29%3E10%2859.0-8.3x%29 Multiply both sides by 10 to clear out the decimals.


35x%2B236%3E590-83x Distribute and multiply.


35x%3E590-83x-236 Subtract 236 from both sides.


35x%2B83x%3E590-236 Add 83x to both sides.


118x%3E590-236 Combine like terms on the left side.


118x%3E354 Combine like terms on the right side.


x%3E%28354%29%2F%28118%29 Divide both sides by 118 to isolate x.


x%3E3 Reduce.


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Answer:

So the answer is x%3E3



So the answer in interval notation is


Also the answer in set-builder notation is



Here's the graph of the solution set