Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as it is greater than 4 in. Which statement about Aziza’s claim is correct?

The triangle inequality says the third side must be greater than the difference of the other two sides and less than their sum. Here, 15 − 11 = 4 and 15 + 11 = 26, so the third side must be more than 4 inches and less than 26 inches. Aziza’s claim leaves out the upper limit, so choice A is correct.

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