Which statements regarding triangle EFG are true? Choose three correct answers.

The triangle inequality says the sum of any two side lengths of a triangle must be greater than the third side. Thus EF + FG > EG, so statement B is true, and EG + FG > EF, so statement C is true. Also, EG − FG < EF follows by rearranging EG < EF + FG, making D true. The other statements contradict the triangle inequality: a difference of two sides cannot be greater than the third, and a sum of two sides cannot be less than the third.

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