Let's solve the inequality:

\[
4w - 13 > 15
\]

### Step 1: Add 13 to both sides of the inequality to isolate the term with \( w \):

\[
4w - 13 + 13 > 15 + 13
\]
\[
4w > 28
\]

### Step 2: Divide both sides by 4 to solve for \( w \):

\[
w > \frac{28}{4}
\]
\[
w > 7
\]

### Final Answer:
\[
w > 7
\]

Would you like more details on solving inequalities or have any other questions?

Here are 5 related questions to explore:
1. How would the inequality change if it was \(4w - 13 < 15\)?
2. Can you graph the solution \(w > 7\) on a number line?
3. What happens if the inequality had been \(4w - 13 \geq 15\)?
4. How do we solve inequalities involving fractions?
5. How do you check the solution of an inequality?

**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 4w - 13 > 15 with a step-by-step solution. This algebra problem focuses on linear inequalities and is suitable for students in Grades 6-8.

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