The problem is to solve the inequality $b + 45 \le 50$ and graph the solution on a number line.

1. Problem Description

The problem is to solve the inequality $b + 45 \le 50$ and graph the solution on a number line.

2. Solution Steps

First, we need to isolate the variable $b$ by subtracting 45 from both sides of the inequality:

$b + 45 - 45 \le 50 - 45$

$b \le 5$

The solution to the inequality is $b \le 5$.

This means that $b$ can be any number less than or equal to

5.

To graph this solution on a number line, we need to plot a closed circle (or a filled dot) at 5, since the inequality includes 5 ($b$ can be equal to 5), and then draw an arrow to the left, indicating that all numbers less than 5 are also solutions.

3. Final Answer

$b \le 5$