Solve the system of inequations:
`(6x)/(4x-1)lt(1)/(2),(x)/(2x+1)ge(1)/(4)`.

Explanation

To solve the system of inequalities given by:

1. \(\frac{6x}{4x - 1} < \frac{1}{2}\)
2. \(\frac{x}{2x + 1} \geq \frac{1}{4}\)

we will solve each inequality step by step.

### Step 1: Solve the first inequality
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