Solve the one-variable inequality −15x<−45

Answer 1

To solve the inequality \(-15x < -45\), we'll isolate \(x\) step by step.

1. 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:

\[ x > \frac{-45}{-15} \]

2. 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.