5x-2<-2x

To solve the inequality \( 5x - 2 < -2x \), you can follow these steps: 1. **Add \( 2x \) to both sides** to combine like terms: \[ 5x + 2x - 2 < 0 \] This simplifies to: \[ 7x - 2 < 0 \] 2. **Add 2 to both sides**: \[ 7x < 2 \] 3. **Divide by 7** (since 7 is a positive number, the direction of the inequality stays the same): \[ x < \frac{2}{7} \] The solution to the inequality is: \[ x < \frac{2}{7} \] You can express this solution in interval notation as: \[ (-\infty, \frac{2}{7}) \]