SOLUTION: write the solution in interval notation and graph it 2(x+5)+1>5+3x

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Question 712154: write the solution in interval notation and graph it
2(x+5)+1>5+3x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%28x%2B5%29%2B1%3E5%2B3x Start with the given inequality.


2x%2B10%2B1%3E5%2B3x Distribute.


2x%2B11%3E5%2B3x Combine like terms on the left side.


2x%3E5%2B3x-11 Subtract 11 from both sides.


2x-3x%3E5-11 Subtract 3x from both sides.


-x%3E5-11 Combine like terms on the left side.


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


x%3C%28-6%29%2F%28-1%29 Divide both sides by -1 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C6 Reduce.


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Answer:

So the solution is x%3C6


The answer in interval notation is



To graph the inequality x%3C6, draw out a number line.

Then plot an open circle at 6.

Then shade to the left of the open circle.

The graph will look something like this