SOLUTION: Question is how to solve 8-9(2x+4)greater equal to -2x+13 this is to be in set builder notation

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Question 536987: Question is how to solve 8-9(2x+4)greater equal to -2x+13 this is to be in set builder notation
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8-9%282x%2B4%29%3E=-2x%2B13 Start with the given inequality.


8-18x-36%3E=-2x%2B13 Distribute.


-18x-28%3E=-2x%2B13 Combine like terms on the left side.


-18x%3E=-2x%2B13%2B28 Add 28 to both sides.


-18x%2B2x%3E=13%2B28 Add 2x to both sides.


-16x%3E=13%2B28 Combine like terms on the left side.


-16x%3E=41 Combine like terms on the right side.


x%3C=%2841%29%2F%28-16%29 Divide both sides by -16 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C=-41%2F16 Reduce.


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Answer:

So the solution is x%3C=-41%2F16


So the answer in set-builder notation is


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