Question

Review the solved inequality. What error was made when solving this inequality. What is the correct solution
-4x <32

Answer 1

Here’s the steps on my problem
-4x<32
-4x/-4< 32/-4
x < -8

Answer 2

Let's review the inequality \(-4x < 32\) and go through the steps to solve it.

1. **Divide both sides by -4**: When we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality sign.

Starting with:
\[
-4x < 32
\]

We divide both sides by -4:
\[
x > \frac{32}{-4}
\]

So,
\[
x > -8
\]

The correct solution is:
\[
x > -8
\]

### Error Made
If a mistake were made, it likely involved not reversing the inequality sign when dividing by a negative number. If the solution was mistakenly written as \(x < -8\), that would be the error.

### Conclusion
The correct solution to the inequality \(-4x < 32\) is indeed:
\[
x > -8
\]

Answer 3

Thank you for sharing your steps. It looks like you made an error when dividing both sides of the inequality by \(-4\).

Here's a breakdown of the proper procedure:

1. **Starting with the inequality:**
\[
-4x < 32
\]

2. **Dividing both sides by \(-4\)**:
When you divide or multiply both sides of an inequality by a negative number, you need to reverse the inequality sign.

So, instead of:
\[
-4x / -4 < 32 / -4
\]
It should be:
\[
-4x / -4 > 32 / -4
\]

This gives:
\[
x > -8
\]

### Summary of the Solutions
- Your incorrect step led to the conclusion that \(x < -8\), but the correct solution, after reversing the sign when dividing by a negative, is:
\[
x > -8
\]

Thank you for double-checking, and I'm glad to clarify that the correct solution is \(x > -8\).