Question

solve for x.
-32 > -5 + 9x
enter your answer, as an inequality, in the box.

Explanation:

Step1: Add 5 to both sides

To isolate the term with \( x \), we add 5 to both sides of the inequality \(-32 > -5 + 9x\). This gives us \(-32 + 5 > -5 + 5 + 9x\), which simplifies to \(-27 > 9x\).

Step2: Divide both sides by 9

Now, we divide both sides of the inequality \(-27 > 9x\) by 9. Since we are dividing by a positive number, the direction of the inequality sign remains the same. So we have \(\frac{-27}{9} > \frac{9x}{9}\), which simplifies to \(-3 > x\) or \(x < -3\).

Answer:

\(x < -3\)