SOLUTION: 3x+4<4(5x+4)-6 Solve and write in interval notation

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Question 337569: 3x+4<4(5x+4)-6
Solve and write in interval notation
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%2B4%3C4%285x%2B4%29-6 Start with the given inequality.


3x%2B4%3C20x%2B16-6 Distribute.


3x%2B4%3C20x%2B10 Combine like terms on the right side.


3x%3C20x%2B10-4 Subtract 4 from both sides.


3x-20x%3C10-4 Subtract 20x from both sides.


-17x%3C10-4 Combine like terms on the left side.


-17x%3C6 Combine like terms on the right side.


x%3E%286%29%2F%28-17%29 Divide both sides by -17 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E-6%2F17 Reduce.


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Answer:

So the solution is x%3E-6%2F17


So the answer in interval notation is


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website.

Jim