To determine the number of inner liners that can be placed in a NASCAR Cup Car tire, let’s analyze the situation presented.
From the problem, we know:
- The minimum weight of the tire is 24 pounds.
- The maximum weight of the tire is 28 pounds.
- The weight of the rubber is 20.2 pounds.
- Each inner liner weighs 0.65 pounds.
We want to formulate an inequality that represents the total weight of the tire with added inner liners, represented by \(x\).
The total weight of the tire with \(x\) inner liners is given by: \[ \text{Total weight} = 20.2 + 0.65x \]
To find the range for \(x\), we need to set up an inequality that keeps the total weight between 24 and 28 pounds:
\[ 24 < 20.2 + 0.65x < 28 \]
Based on this, we can determine that the correct inequality statement that represents the situation is: \[ 24 < 20.2 + 0.65x < 28 \]
So, the correct choice is: 24 < 20.2 + 0.65x < 28.