A triangle has side lengths measuring 2⁢x+2 ft, x+3 ft, and n ft. Which expression represents the possible values of n , in feet? Express your answer in simplest terms.

By the triangle inequality, the third side must be greater than the difference of the other two side lengths and less than their sum. Here, the difference is (2x + 2) − (x + 3) = x − 1, and the sum is (2x + 2) + (x + 3) = 3x + 5. Therefore, x − 1 < n < 3x + 5, which is choice A.

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