The correct statement about the original cool liquid is: The liquid is a homogeneous mixture because the substance that formed the large crystals was uniformly dissolved.
This is because a homogeneous mixture is characterized by a uniform composition throughout, and if the solute (in this case, salt) was uniformly dissolved in the liquid before the crystal was added, it indicates that the liquid was a homogeneous mixture. The formation of large crystals upon the addition of a single salt crystal suggests that the dissolved substance was in a saturated solution and could precipitate out as crystals.