SOLUTION: 5x+3<3x-11

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Question 369979: 5x+3<3x-11
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5x%2B3%3C3x-11 Start with the given inequality.


5x%3C3x-11-3 Subtract 3 from both sides.


5x-3x%3C-11-3 Subtract 3x from both sides.


2x%3C-11-3 Combine like terms on the left side.


2x%3C-14 Combine like terms on the right side.


x%3C%28-14%29%2F%282%29 Divide both sides by 2 to isolate x.


x%3C-7 Reduce.


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Answer:

So the solution is x%3C-7


So the answer in interval notation is


Also, the answer in set-builder notation is


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



Note: there's an open circle at x=-7


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Jim