https://file.aiquickdraw.com/mathbot/file/1729087093607ikr78hln.jpg

Let's solve the inequality provided in the image:

Given inequality:
\[
20a - 92 \geq 28
\]

### Step 1: Add 92 to both sides
\[
20a - 92 + 92 \geq 28 + 92
\]
\[
20a \geq 120
\]

### Step 2: Divide both sides by 20
\[
a \geq 6
\]

### Solution
The solution to the inequality is:
\[
a \geq 6
\]

### Graphing the Solution
To graph this solution on the number line:
- Plot a closed circle at \(6\) to indicate that the endpoint is included (since it's \(\geq\)).
- Draw a ray extending to the right from \(6\), indicating that the values greater than or equal to 6 are part of the solution.

Would you like more details on this process or have any questions?

Here are some related questions you might find useful:
1. How do you graph inequalities on a number line?
2. What is the difference between open and closed circles in inequality graphs?
3. How do you solve inequalities involving negative coefficients?
4. How do you check if a solution to an inequality is correct?
5. What are some common mistakes to avoid when solving inequalities?

**Tip:** Always remember that when you multiply or divide both sides of an inequality by a negative number, you need to reverse the inequality sign!

Solve the inequality 20a - 92 ≥ 28 and graph the solution.

Learn how to solve the linear inequality 20a - 92 ≥ 28 and graph the solution step by step. This problem covers key algebraic concepts, including solving inequalities and graphing on a number line. Suitable for students in Grades 7-9.

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