SOLUTION: Inequality: please solve. Thank you. 2/3x - 1/6 +1/2 >7/6 +2x

Algebra ->  Inequalities -> SOLUTION: Inequality: please solve. Thank you. 2/3x - 1/6 +1/2 >7/6 +2x      Log On


   

Question 323898: Inequality: please solve. Thank you.
2/3x - 1/6 +1/2 >7/6 +2x
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F3x - 1%2F6+%2B1%2F2+%3E7%2F6+%2B2x
Multiply by 6 to get rid of the denominators, results:
2(2x) - 1 + 3 > 7 + 6(2x)
:
4x + 2 > 7 + 12x
:
4x - 12x > 7 - 2
:
-8x > 5
x has to be positive, multiply both sides by -1, this reverses the inequality sign
8x < -5
x < -5%2F8