Final answer:
The argument that all desserts are low fat because some sweet foods are low fat is invalid, as exemplified by the counterexample of a buttercream cake, which is a sweet dessert that is not low in fat.
Step-by-step explanation:
The sentence "Brianna dunked the delicious donut into the whipped cream dip; this dessert was her absolute favorite." suggests a specific dessert preference, but does not logically argue the nutritional content of desserts. When reviewing the argument provided:
- All desserts are sweet foods.
- Some sweet foods are low fat.
- So all desserts are low fat.
The conclusion that all desserts are low fat is invalid. This is demonstrated by the counterexample of a buttercream cake, which is a dessert known to be sweet yet it is not low in fat. Thus, the argument fails because it concludes that all members of a subset (desserts) have a characteristic (low fat) based only on some members of a broader set (sweet foods) having that characteristic, which is a logical fallacy.