SOLUTION: use the properties of inequalities to solve the following inequality. write the solution set using set-builder notation. 9(x-8)>or=to -9x-7. thank you

Algebra ->  Inequalities -> SOLUTION: use the properties of inequalities to solve the following inequality. write the solution set using set-builder notation. 9(x-8)>or=to -9x-7. thank you       Log On


   

Question 317381: use the properties of inequalities to solve the following inequality. write the solution set using set-builder notation.
9(x-8)>or=to -9x-7.
thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
9%28x-8%29%3E=-9x-7 Start with the given inequality.


9x-72%3E=-9x-7 Distribute.


9x%3E=-9x-7%2B72 Add 72 to both sides.


9x%2B9x%3E=-7%2B72 Add 9x to both sides.


18x%3E=-7%2B72 Combine like terms on the left side.


18x%3E=65 Combine like terms on the right side.


x%3E=%2865%29%2F%2818%29 Divide both sides by 18 to isolate x.


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Answer:

So the solution is x%3E=65%2F18


The answer in set-builder notation is