SOLUTION: Solve the following inequality. Write the solution set using interval notation 8-(5x-2)greater than or equal to -6(x+1)-6

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Question 709223: Solve the following inequality. Write the solution set using interval notation

8-(5x-2)greater than or equal to -6(x+1)-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8-%285x-2%29%3E=-6%28x%2B1%29-6 Start with the given inequality.


8-5x%2B2%3E=-6x-6-6 Distribute.


-5x%2B10%3E=-6x-6-6 Combine like terms on the left side.


-5x%2B10%3E=-6x-12 Combine like terms on the right side.


-5x%3E=-6x-12-10 Subtract 10 from both sides.


-5x%2B6x%3E=-12-10 Add 6x to both sides.


x%3E=-12-10 Combine like terms on the left side.


x%3E=-22 Combine like terms on the right side.


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Answer:

So the solution is x%3E=-22


The answer in interval notation is [)