SOLUTION: solve this inequality and check your solution. then graph the solution on a number line. 2n+5>11-n
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Question 164315: solve this inequality and check your solution. then graph the solution on a number line. 2n+5>11-n
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality.
Subtract from both sides.
Add to both sides.
Combine like terms on the left side.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
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Answer:
So the answer is
So the answer in interval notation is )
Also, the answer in set-builder notation is 
Check:
To check the answer, simply plug in a value that is greater than 2 (say 3)
Start with the given inequality.
Plug in n=3
Multiply
Combine like terms. Since the inequality is true, this verifies our answer.
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Here's the graph of the solution set
Take note of the open circle at n=2. This tells us to exclude the endpoint.
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