SOLUTION: Solve the inequality. Write the solution set in interval notation and graph it. 12x - 18 > 3(3x-13)

Algebra ->  Inequalities -> SOLUTION: Solve the inequality. Write the solution set in interval notation and graph it. 12x - 18 > 3(3x-13)       Log On


   

Question 166187: Solve the inequality. Write the solution set in interval notation and graph it.
12x - 18 > 3(3x-13)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

12x-18%3E3%283x-13%29 Start with the given inequality.


12x-18%3E9x-39 Distribute.


12x%3E9x-39%2B18 Add 18 to both sides.


12x-9x%3E-39%2B18 Subtract 9x from both sides.


3x%3E-39%2B18 Combine like terms on the left side.


3x%3E-21 Combine like terms on the right side.


x%3E%28-21%29%2F%283%29 Divide both sides by 3 to isolate x.


x%3E-7 Reduce.


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Answer:

So the answer is x%3E-7


So the answer in interval notation is


Also, the answer in set-builder notation is


Here's the graph of the solution set