11) The ideal diameter of a piston for one type of car is 108 mm . The actual diameter vary from the ideal at most 0.0012 mm . find the range of acceptable diameter of the piston.

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1. Let the ideal diameter be given by  
   $$
   d = 108 \text{ mm}
   $$

2. The piston’s actual diameter can vary by at most  
   $$
   \pm 0.0012 \text{ mm}
   $$

3. Therefore, the acceptable range of the diameter is from  
   $$
   108 - 0.0012 \text{ mm}
   $$
   to  
   $$
   108 + 0.0012 \text{ mm}
   $$

4. Calculating the limits:  
   $$
   \text{Lower limit} = 108 - 0.0012 = 107.9988 \text{ mm} 
   $$
   $$
   \text{Upper limit} = 108 + 0.0012 = 108.0012 \text{ mm}
   $$

5. Thus, the range of acceptable diameters is  
   $$
   107.9988 \leq d \leq 108.0012 \text{ mm}
   $$
The acceptable diameter range for the piston is from 107.9988 mm to 108.0012 mm.

11) The ideal diameter of a piston for one type of car is 108 mm . The actual diameter vary from the ideal at most 0.0012 mm . find the range of acceptable diameter of the piston.

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