Final answer:
The reduced carrying amount of an asset after impairment does indeed represent the basis for future depreciation over its remaining life, which confirms that the statement is true.
Step-by-step explanation:
The statement 'The reduced carrying amount of the asset represents the amount that should be depreciated over the asset's remaining useful life' is true. After an asset is impaired and its carrying amount is reduced, the new, lower carrying amount becomes the basis for subsequent depreciation calculations. This means that the new book value, which is the adjusted cost after impairment, will be spread out over the remaining useful life of the asset in a systematic and rational manner. This process ensures that the depreciation expense recorded each period accurately reflects the asset's reduced value and remaining utility.