SOLUTION: I have tried this but can not figure out, especially the "set-builder notation." 4 - (3x + 4) < 20 5 Did not know how but its suppose to be < with a line undernea

Algebra ->  Algebra  -> Inequalities -> SOLUTION: I have tried this but can not figure out, especially the "set-builder notation." 4 - (3x + 4) < 20 5 Did not know how but its suppose to be < with a line undernea      Log On

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Question 185534: I have tried this but can not figure out, especially the "set-builder notation."
4
- (3x + 4) < 20
5
Did not know how but its suppose to be < with a line underneath.
Answer by jim_thompson5910(21684) About Me  (Show Source):
You can put this solution on YOUR website!
%284%2F5%29%283x%2B4%29%3C=20 Start with the given inequality.


4%283x%2B4%29%3C=20%285%29 Multiply both sides by 5.


4%283x%2B4%29%3C=100 Multiply.


12x%2B16%3C=100 Distribute.


12x%3C=100-16 Subtract 16 from both sides.


12x%3C=84 Combine like terms on the right side.


x%3C=%2884%29%2F%2812%29 Divide both sides by 12 to isolate x.


x%3C=7 Reduce.


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Answer:

So the answer 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

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