Final answer:
The recognized loss for the Detroit residence's sale would be likely $0 due to personal use property loss rules, and the basis of the new Dallas residence would generally be its purchase price unless tax-specific provisions apply.
Step-by-step explanation:
The question pertains to the tax treatment of selling a residence at a loss and the basis for a new residence in a hypothetical situation. Given the choices provided, and without additional context, it is not fully clear what the correct answer would be as key details such as the sale price of the Detroit residence are missing. Typically, if the scenario implies that the Detroit residence is sold at a loss, the recognized loss would be the difference between the adjusted basis of the property and the selling price. However, losses on personal use property like one's residence are generally not deductible. Therefore, the recognized loss would likely be $0. The basis of the new Dallas residence would generally be its purchase price unless the scenario involved a like-kind exchange or other specific tax provisions, which are not detailed in the question.