SOLUTION: 7x+6+x>5x+10 write solution set in interval notation and graph

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Question 615646: 7x+6+x>5x+10 write solution set in interval notation and graph
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

7x%2B6%2Bx%3E5x%2B10 Start with the given inequality.


8x%2B6%3E5x%2B10 Combine like terms on the left side.


8x%3E5x%2B10-6 Subtract 6 from both sides.


8x-5x%3E10-6 Subtract 5x from both sides.


3x%3E10-6 Combine like terms on the left side.


3x%3E4 Combine like terms on the right side.


x%3E%284%29%2F%283%29 Divide both sides by 3 to isolate x.


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Answer:

So the solution is x%3E4%2F3


So the answer in interval notation is

Here's the graph of the solution set on the number line



Note: there's an open circle at the endpoint