SOLUTION: when 1 is added to the difference between 9 times a number and 6, the result is greater than 11 added to 8 times the number

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Question 961181: when 1 is added to the difference between 9 times a number and 6, the result is greater than 11 added to 8 times the number
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= the number
9x= 9 times the number
8x= 8 times the number

9x-6= the difference between 9 times the number and 6
9x-6%2B1= what we get when 1 is added to the difference between 9 times the number and 6

8x%2B11= 11 added to 8 times the number.
"When 1 is added to the difference between 9 times a number and 6, the result is greater than 11 added to 8 times the number" means that
9x-6%2B1 is greater than 8x%2B11 , so
9x-6%2B1%3E8x%2B11 .

Let's simplify:
9x-6%2B1%3E8x%2B11 ---> 9x-5%3E8x%2B11 .
Let's solve:
9x-5%3E8x%2B11 ---> 9x-5%2B5%3E8x%2B11%2B5 ---> 9x%3E8x%2B16 ---> 9x-8x%3E16 ---> %289-8%29x%3E16 ---> highlight%28x%3E16%29