Final answer:
Stars with a mass less than 0.5 solar masses do not sustain fusion reactions due to insufficient heat in their cores.
Step-by-step explanation:
When a star has a mass less than 0.5 solar masses, fusion reactions cease to occur. Fusion reactions, where lighter-mass nuclei join together to form a single nucleus, require extremely high temperatures that can only be found in the cores of stars. However, stars with a mass less than 0.5 solar masses do not become hot enough to sustain fusion reactions.