Final answer:
True. Fusion in the core of a massive star cannot create elements much heavier than iron. When iron is created in the core, the star usually dies in a supernova explosion.
Step-by-step explanation:
The statement is True. Nuclear fusion in the core of a massive star can not create elements much heavier than iron. Fusion reactions in stars can build elements up to the peak around iron, but beyond that, the fusion of iron atoms requires energy instead of releasing energy. This process of fusion cannot go on indefinitely, and when a massive star exhausts its nuclear fuel and creates iron in its core, it usually dies in a supernova explosion, during which heavier elements can be synthesized.