The problem is to solve the inequality $3 \le h - 4$ and graph the solution on a number line.

1. Problem Description

The problem is to solve the inequality $3 \le h - 4$ and graph the solution on a number line.

2. Solution Steps

To solve the inequality $3 \le h - 4$, we need to isolate $h$.

Add 4 to both sides of the inequality:

$3 + 4 \le h - 4 + 4$

$7 \le h$

This can also be written as $h \ge 7$.

To graph the solution on a number line, we need to indicate all values of $h$ that are greater than or equal to

7. Since $h$ can be equal to 7, we use a closed circle (filled-in circle) at

7. Since $h$ can be greater than 7, we draw an arrow to the right, starting from

7.

3. Final Answer

The solution to the inequality is $h \ge 7$.

The graph should have a closed circle at 7 and an arrow pointing to the right.