SOLUTION: solve -5x-4<3(x-3) in set notation

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Question 641774: solve -5x-4<3(x-3) in set notation
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-5x-4%3C3%28x-3%29 Start with the given inequality.


-5x-4%3C3x-9 Distribute.


-5x%3C3x-9%2B4 Add 4 to both sides.


-5x-3x%3C-9%2B4 Subtract 3x from both sides.


-8x%3C-9%2B4 Combine like terms on the left side.


-8x%3C-5 Combine like terms on the right side.


x%3E%28-5%29%2F%28-8%29 Divide both sides by -8 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E5%2F8 Reduce.


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Answer:

So the solution is x%3E5%2F8

The answer in set-builder notation is