Final answer:
False. Neanderthals did create cave paintings, but not the spectacular cave paintings dated to 35,000 years ago. The oldest cave art ever found, dated to around 65,000 years ago, has been determined to be the work of Neanderthals.
Step-by-step explanation:
False. While Neanderthals did create cave paintings, the spectacular cave paintings that are dated to 35,000 years ago are not attributed to them. The oldest cave art ever found, discovered in Spain, has been dated to around 65,000 years ago, before the arrival of H. sapiens in the region, and has been determined to be the creative works of Neanderthals. The cave art created by H. sapiens during the Upper Paleolithic period, from 40,000 to 10,000 years ago, is considered to show a higher level of sophistication and sacredness compared to Neanderthal cave art.