SOLUTION: Answer in set builder notation 30x-24>6(4x-1)

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Question 483037: Answer in set builder notation
30x-24>6(4x-1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

30x-24%3E6%284x-1%29 Start with the given inequality.


30x-24%3E24x-6 Distribute.


30x%3E24x-6%2B24 Add 24 to both sides.


30x-24x%3E-6%2B24 Subtract 24x from both sides.


6x%3E-6%2B24 Combine like terms on the left side.


6x%3E18 Combine like terms on the right side.


x%3E%2818%29%2F%286%29 Divide both sides by 6 to isolate x.


x%3E3 Reduce.


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Answer:

So the solution 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 on the number line



Note: there is an open circle at the endpoint.