https://file.aiquickdraw.com/mathbot/file/1729278921737uwqmrzi7.jpg

The inequality given in the image is:

\[
5a + 9 \leq 2a + 15
\]

### Steps to solve the inequality:

1. **Move the variable terms to one side**:
   Subtract \( 2a \) from both sides:
   \[
   5a - 2a + 9 \leq 15
   \]
   Simplifying this gives:
   \[
   3a + 9 \leq 15
   \]

2. **Move the constant term to the other side**:
   Subtract 9 from both sides:
   \[
   3a \leq 15 - 9
   \]
   Simplifying this gives:
   \[
   3a \leq 6
   \]

3. **Solve for \( a \)**:
   Divide both sides by 3:
   \[
   a \leq \frac{6}{3}
   \]
   \[
   a \leq 2
   \]

### Final solution:
\[
a \leq 2
\]

Let me know if you need further clarification or details!

Here are 5 related questions you might find useful:
1. How would you solve the inequality if it involved a negative coefficient?
2. What is the difference between solving an inequality and an equation?
3. Can you describe how to graph the solution \( a \leq 2 \) on a number line?
4. How do the properties of inequalities change when multiplying or dividing by a negative number?
5. Can you apply this method to solve \( 4x + 7 \geq 2x + 5 \)?

**Tip:** When solving inequalities, if you multiply or divide by a negative number, always remember to reverse the inequality sign!

Learn how to solve the linear inequality 5a + 9 ≤ 2a + 15 with a step-by-step guide. This algebra problem demonstrates how to rearrange terms, isolate variables, and interpret the inequality solution. Ideal for students in Grades 8-10.

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