SOLUTION: Solve the following inequality and express the solution as an interval: -18/6x-42>0

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Question 113946: Solve the following inequality and express the solution as an interval: -18/6x-42>0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28-18%2F6%29x-42%3E0 Start with the given inequality



%286%29%28%28-18%2F6%29x-42%29=%286%29%280%29 Multiply both sides by the LCM of 6. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



-18x-252=0 Distribute and multiply the LCM to each side



-18x%3E0%2B252Add 252 to both sides


-18x%3E252 Combine like terms on the right side


x%3C%28252%29%2F%28-18%29 Divide both sides by -18 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3C-14 Divide

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Answer:
So our answer is x%3C-14


which in interval notation looks like