2х-4>7х-1

To solve the inequality \(2x - 4 > 7x - 1\), follow these steps: 1. **Rearrange the inequality**: Move all terms involving \(x\) to one side and constant terms to the other side. \[ 2x - 7x > -1 + 4 \] 2. **Combine like terms**: \[ -5x > 3 \] 3. **Divide by -5**: Remember that when you divide by a negative number, you must reverse the inequality sign. \[ x < -\frac{3}{5} \] So the solution to the inequality is: \[ x < -\frac{3}{5} \]