Review the solved inequality below. What error was made when solving this inequality? What is the correct solution?

Question

-4x/-4 < 32/-4
x<-8
*Your response is worth 2 points! 1 point for correctly identifying the error, and 1 point for providing the correct solution.

Answer 1

The error in the solved inequality is in the simplification of the left side. When dividing by -4, the direction of the inequality should reverse since we are dividing by a negative number.

The original inequality was: \[ \frac{-4x}{-4} < \frac{32}{-4} \] This simplifies to: \[ x < -8 \] But because we divided by a negative number (-4), the correct inequality should actually be: \[ x > -8 \]

So, the correct solution is: \[ x > -8 \]