-5x+14 less than 19

To solve the inequality \(-5x + 14 < 19\), follow these steps:

1. Subtract 14 from both sides: \[ -5x < 19 - 14 \] \[ -5x < 5 \]

2. Divide both sides by -5. Remember to reverse the inequality sign when dividing by a negative number: \[ x > \frac{5}{-5} \] \[ x > -1 \]

So, the solution to the inequality is: \[ x > -1 \]