To solve the inequality \( -15 + 4W > 1 \), we will follow these steps:

1. **Add 15 to both sides**: This step isolates the term with the variable.
   \[
   -15 + 4W + 15 > 1 + 15
   \]
   \[
   4W > 16
   \]

2. **Divide both sides by 4**: This step solves for \( W \).
   \[
   \frac{4W}{4} > \frac{16}{4}
   \]
   \[
   W > 4
   \]

So, the solution to the inequality is \( W > 4 \).

Would you like more details or have any questions? Here are some related questions:

1. How do we solve an inequality if the coefficient of the variable is negative?
2. What happens to the inequality sign when both sides are multiplied or divided by a negative number?
3. How can we graph the solution of the inequality \( W > 4 \) on a number line?
4. How do we solve and graph compound inequalities?
5. Can you explain how inequalities differ from equations in terms of solutions?

**Tip:** When solving inequalities, remember that if you multiply or divide both sides by a negative number, you must reverse the direction of the inequality sign.

Learn how to solve the inequality -15 + 4W > 1 step-by-step with detailed explanations. This problem involves algebraic manipulation of inequalities. Suitable for students in Grades 9-12.

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