SOLUTION: When 1 is added to the difference between six times a number and 7, the result is greater than 11 added to 5 times the number. Find all such numbers. The solutions are all num

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Question 909586: When 1 is added to the difference between six times a number and 7, the result is greater than 11 added to 5 times the number. Find all such numbers.

The solutions are all numbers greater than___

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

When 1 is added to the difference between six times a number x and 7,we have
%286x-7%29%2B1...first part

the result is greater than 11 added to 5 times the number x
5x%2B11 ...second part
together:
%286x-7%29%2B1%3E5x%2B11 ...solve for x
6x-7%2B1%3E5x%2B11
6x-6%3E5x%2B11
6x-5x%3E6%2B11
x%3E17
so, the solutions are all numbers greater than_17__