-7x-3>0

To solve the inequality \(-7x - 3 > 0\), follow these steps:

1. Add 3 to both sides: \[ -7x > 3 \]

2. Divide both sides by -7. Remember that when dividing by a negative number, the inequality sign flips: \[ x < -\frac{3}{7} \]

Thus, the solution to the inequality is: \[ x < -\frac{3}{7} \]

You can express the solution in interval notation as: \[ (-\infty, -\frac{3}{7}) \]