SOLUTION: x-9>=-7(x+2) write solutions using set builder notation. show work

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Question 507879: x-9>=-7(x+2) write solutions using set builder notation. show work
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x-9%3E=-7%28x%2B2%29 Start with the given inequality.


x-9%3E=-7x-14 Distribute.


x%3E=-7x-14%2B9 Add 9 to both sides.


x%2B7x%3E=-14%2B9 Add 7x to both sides.


8x%3E=-14%2B9 Combine like terms on the left side.


8x%3E=-5 Combine like terms on the right side.


x%3E=%28-5%29%2F%288%29 Divide both sides by 8 to isolate x.


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Answer:

So the solution is x%3E=-5%2F8

Answer in set-builder notation is
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Thanks,

Jim