1. The problem is to understand the notation $9.5 \pm 0.05$. 2. This notation means the value is $9.5$ with an uncertainty or tolerance of $0.05$. 3. The range of possible values is from $9.5 - 0.05$ to $9.5 + 0.05$. 4. Calculate the lower bound: $$9.5 - 0.05 = 9.45$$ 5. Calculate the upper bound: $$9.5 + 0.05 = 9.55$$ 6. Therefore, the value lies between $9.45$ and $9.55$ inclusive. This is often used in measurements to indicate precision or error margin.