Solve the inequalities for real x : `((2x-1))/3geq((3x-2))/4-((2-x))/5`

Explanation

To solve the inequality \(\frac{2x-1}{3} \geq \frac{3x-2}{4} - \frac{2-x}{5}\), we will follow these steps:

### Step 1: Simplify the Right Side
First, we need to simplify the right side of the inequality. We will find a common denominator for the fractions on the right side. The denominators are 4 and 5, so the least common multiple (LCM) is 20.

The right side becomes:
\[
\frac{3x-2}{4} - \frac{2-x}{5} = \frac{5(3x-2) - 4(2-x)}{20}
...