Question

Find and correct the error.
x/4 + 6 > 3
x + 6 > 12
x > 6

Answer 1

Let's find and correct the error in your inequality steps.

Starting from the original inequality:

1. **Start with**:
\[ \frac{x}{4} + 6 > 3 \]

2. **Subtract 6 from both sides**:
\[ \frac{x}{4} > 3 - 6 \]
\[ \frac{x}{4} > -3 \]

3. **Multiply both sides by 4** (Note: since we are multiplying by a positive number, the direction of the inequality remains the same):
\[ x > -3 \cdot 4 \]
\[ x > -12 \]

The error occurred in the second step where it incorrectly jumped to \( x + 6 > 12 \).

Thus, the correct final result is:
\[ x > -12 \]