https://file.aiquickdraw.com/mathbot/file/1727412109069zhsgbzbx.jpg

The inequality in the image is:

\[
4x \geq -20
\]

To solve for \(x\):

1. Divide both sides of the inequality by 4:

\[
x \geq \frac{-20}{4}
\]

\[
x \geq -5
\]

So the solution is \(x \geq -5\).

Would you like any additional details or explanations?

Here are 5 related questions you might want to explore:
1. How do inequalities change when multiplying or dividing by a negative number?
2. What are the differences between strict inequalities and non-strict inequalities?
3. How would the graph of this inequality look on a number line?
4. Can you solve a similar inequality with variables on both sides?
5. What happens if the inequality had absolute values?

**Tip**: When dividing or multiplying both sides of an inequality by a negative number, remember to reverse the inequality sign.

Learn how to solve the linear inequality 4x ≥ -20 by dividing both sides by 4. This problem demonstrates key concepts in solving inequalities and understanding the properties of inequality symbols. Suitable for students in Grades 6-8.

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