SOLUTION: Solve the inequality and write the solution in set builder notation: 1/3x + 1/5 equal to or greater than 1/10(x-2)

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Question 53290: Solve the inequality and write the solution in set builder notation:
1/3x + 1/5 equal to or greater than 1/10(x-2)

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the inequality and write the solution in set builder notation:
:
1/3x + 1/5 equal to or greater than 1/10(x-2)
:
1/3x + 1/5 => 1/10(x-2)
:
Get rid of the denominators; mult eq by 30 and you have:
10x + 6 => 3(x-2)
:
10x + 6 => 3x - 6
:
10x - 3x => -6 - 6
:
7x => -12
:
x => -12/7
:
I think set builder notation would be:
x|x| => -12/7, x is an element of real numbers