To solve the inequality \(-15x < -45\), we'll isolate \(x\) step by step.
- Divide both sides of the inequality by \(-15\). Remember, when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign:
\[ x > \frac{-45}{-15} \]
- Simplifying the right side:
\[ x > 3 \]
So the solution to the inequality \(-15x < -45\) is:
\[ x > 3 \]
This means that any value of \(x\) that is greater than 3 will satisfy the inequality.