1. The problem states that the width of the shaded regions is $x-8$. 2. To understand this, we need to know what $x$ represents and how the width is calculated. 3. Typically, width is the difference between two points on a number line or coordinate axis. 4. If the width is given by $x-8$, it means the right boundary is at $x$ and the left boundary is at 8. 5. Therefore, the width is calculated as the distance between these two points: $$\text{width} = x - 8$$ 6. This formula assumes $x > 8$ to have a positive width. 7. If $x \leq 8$, the width would be zero or negative, which may not make sense in the context of a physical width. 8. So, the key takeaway is that the width depends linearly on $x$ and shifts by 8 units.