Final answer to the problem
$x>-\frac{38}{9}$
Got another answer? Verify it here!
Step-by-step Solution
Specify the solving method
1
Move everything to the left hand side of the equation
$\frac{2}{3}\left(x+7\right)+\frac{-x}{4}-\frac{1}{2}\left(3-x\right)+\frac{-x}{6}>0$
Learn how to solve problems step by step online.
$\frac{2}{3}\left(x+7\right)+\frac{-x}{4}-\frac{1}{2}\left(3-x\right)+\frac{-x}{6}>0$
Learn how to solve problems step by step online. Solve the inequality 2/3(x+7)+(-x)/4>1/2(3-x)+x/6. Move everything to the left hand side of the equation. Combining like terms \frac{-x}{4} and \frac{-x}{6}. Divide -1 by 4. Divide -1 by 6.
Final answer to the problem
$x>-\frac{38}{9}$