The problem is to solve the inequality $14 < w + 9$ and graph the solution on a number line.

1. Problem Description

The problem is to solve the inequality $14 < w + 9$ and graph the solution on a number line.

2. Solution Steps

To solve the inequality $14 < w + 9$, we need to isolate $w$. Subtract 9 from both sides of the inequality:

$14 - 9 < w + 9 - 9$

$5 < w$

This means $w > 5$.

To graph the solution on the number line, we need to place an open circle at 5, because the inequality is $w > 5$ and not $w \geq 5$. Then, we draw an arrow to the right, indicating that all values greater than 5 are solutions to the inequality.

3. Final Answer

The solution to the inequality is $w > 5$. The graph will have an open circle at 5 and an arrow pointing to the right, indicating all numbers greater than

5.