https://file.aiquickdraw.com/mathbot/file/17285918987662j6rtx1l.jpg

The inequality in the image is:

\[
\frac{x}{6} \geq 12
\]

To solve this inequality for \(x\), follow these steps:

1. Multiply both sides of the inequality by 6 to eliminate the denominator:
   \[
   x \geq 12 \times 6
   \]
2. Simplify the right-hand side:
   \[
   x \geq 72
   \]

So, the solution to the inequality is:

\[
x \geq 72
\]

### Would you like further details or have any questions?

Here are some related questions:
1. What happens if the inequality sign is reversed (i.e., \( \frac{x}{6} \leq 12 \))?
2. How would the solution change if the right-hand side were negative?
3. Can you apply the same method if the variable is in the denominator of a fraction (e.g., \( \frac{6}{x} \geq 12 \))?
4. How do we represent this solution graphically on a number line?
5. How do inequalities change when multiplying by negative numbers?

**Tip:** Always reverse the inequality sign when multiplying or dividing both sides by a negative number in inequalities!

Learn how to solve the inequality x/6 ≥ 12 with a detailed step-by-step solution. This problem covers basic algebraic concepts and the properties of inequalities. Suitable for students in Grades 6-8.

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