https://file.aiquickdraw.com/mathbot/file/1726776013381g90ofrt4.jpg

The inequality in the image appears to be:

\[
\frac{x}{6} + 2 \geq -16
\]

Let me solve it step by step:

### Step 1: Subtract 2 from both sides
\[
\frac{x}{6} \geq -16 - 2
\]
\[
\frac{x}{6} \geq -18
\]

### Step 2: Multiply both sides by 6 to eliminate the fraction
\[
x \geq -18 \times 6
\]
\[
x \geq -108
\]

### Solution:
\[
x \geq -108
\]

Would you like any further explanation or details on this? 

Here are some related questions for further exploration:
1. How do inequalities differ from equations in terms of solving them?
2. What happens if you multiply or divide both sides of an inequality by a negative number?
3. Can you graph the solution of \( x \geq -108 \) on a number line?
4. How would this inequality change if it was \( x / 6 + 2 < -16 \)?
5. How would you solve a compound inequality involving two inequality signs?

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

Solve the inequality \(\frac{x}{6} + 2 \geq -16\).

This webpage provides a step-by-step guide to solving the linear inequality \(\frac{x}{6} + 2 \geq -16\). Learn how to handle inequalities, manipulate linear equations, and understand key algebraic principles, tailored for students in Grades 7-9.

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