SOLUTION: 3(x - 2) > 4(2x + 11)

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Question 395741: 3(x - 2) > 4(2x + 11)
Found 2 solutions by jim_thompson5910, rfer:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x-2%29%3E4%282x%2B11%29 Start with the given inequality.


3x-6%3E8x%2B44 Distribute.


3x%3E8x%2B44%2B6 Add 6 to both sides.


3x-8x%3E44%2B6 Subtract 8x from both sides.


-5x%3E44%2B6 Combine like terms on the left side.


-5x%3E50 Combine like terms on the right side.


x%3C%2850%29%2F%28-5%29 Divide both sides by -5 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C-10 Reduce.


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Answer:

So the solution is x%3C-10

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: there is an open circle at the endpoint.


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

Also, feel free to check out my tutoring website

Jim

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
3x-6 > 8x+44
-50 > 5x
-10 > x