SOLUTION: 3x<7x-28

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Question 581874: 3x<7x-28
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%3C7x-28 Start with the given inequality.


3x-7x%3C-28 Subtract 7x from both sides.


-4x%3C-28 Combine like terms on the left side.


x%3E%28-28%29%2F%28-4%29 Divide both sides by -4 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E7 Reduce.


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Answer:

So the solution is x%3E7

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: the endpoint is an open circle.