Solve `|x-3| ge 2`

Explanation

To solve the inequality \( |x - 3| \geq 2 \), we will follow the steps outlined below:

### Step 1: Understand the Absolute Value Inequality
The inequality \( |x - 3| \geq 2 \) can be interpreted using the definition of absolute value. The expression \( |A| \geq B \) means that \( A \) is either greater than or equal to \( B \) or less than or equal to \(-B\). Therefore, we can rewrite the inequality as:
\[ x - 3 \geq 2 \quad \text{or} \quad x - 3 \leq -2 \]

...