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Bot GPT 4-o mini 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.