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) (Show Source): You can put this solution on YOUR website!
Start with the given inequality
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)
Distribute and multiply the LCM to each side
Add 252 to both sides
Combine like terms on the right side
Divide both sides by -18 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)
Divide
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Answer:
So our answer is
which in interval notation looks like
)
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