SOLUTION: Solve the linear inequality: 8-7/8x>9 The solution set is?

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Question 770162: Solve the linear inequality:
8-7/8x>9
The solution set is?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8-%287%2F8%29x%3E9 Start with the given inequality.


8%288-%287%2Fcross%288%29%29x%29%3E8%289%29 Multiply both sides by the LCD 8 to clear any fractions.


64-7x%3E72 Distribute and multiply.


-7x%3E72-64 Subtract 64 from both sides.


-7x%3E8 Combine like terms on the right side.


x%3C%288%29%2F%28-7%29 Divide both sides by -7 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C-8%2F7 Reduce.


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Answer:

So the solution is x%3C-8%2F7