Question

solve for x. your answer must be simplified. -18 < 9x

Explanation:

Step1: Divide both sides by 9

To isolate \(x\), divide both sides of the inequality \(-18 < 9x\) by 9. Since 9 is positive, the direction of the inequality sign remains the same. So we have \(\frac{-18}{9} < \frac{9x}{9}\).

Step2: Simplify both sides

Simplifying \(\frac{-18}{9}\) gives \(-2\), and \(\frac{9x}{9}\) simplifies to \(x\). So the inequality becomes \(-2 < x\), or equivalently \(x > -2\).

Answer:

\(x > -2\)