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A pencil manufacturer has a certain tolerance for the actual lengths of the pencils it produces. After the pencils are manufactured, a 1.1 centimeter eraser is added to one end of the pencil. The total length of each pencil must be between 12.9 cm and 13.3 cm. Write an inequality representing the possible lengths of the pencils before the erasers have been added, and then find the lengths.

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The statement could be best express using the equation 12.9 < x + 1.1cm > 13.3 . This is express using that equation  because it states that the minimum length for the pencil is 12.9 and the maximum length is 13.3. Also, it states that the length of the pencil (x) will have an additional length becuase of eraser which is 1.1, x +11. 

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