Final answer:
The Buddha taught in the 6th to 5th century BCE in the Indian subcontinent, not China. Buddhism was introduced to China much later, between the 220-589 CE by monks along the Silk Roads. Thus, the statement is FALSE.
Step-by-step explanation:
The statement that Buddha taught in the 6th century BCE in China is FALSE. Siddhartha Gautama, known as the Buddha, was an Indian prince who lived between the 6th and 5th century BCE and founded Buddhism in the region of present-day Nepal and India, not China. Buddhism spread to China much later, during the period of the Six Dynasties, approximately between 220 and 589 CE, when monks traveled along the Silk Roads, bringing the teachings of the Buddha to East Asia.
It is recorded that Buddhism became more firmly established in China around 150 CE with the formation of a small community of monks in Loyang. The translation of Buddhist texts and teachings helped to expand the influence of Buddhism in Chinese society, with Emperor Wu of the Liang dynasty (r. 502-549) himself becoming an advocate and sponsor of the religion. Therefore, the physical presence of the Buddha and his direct teachings did not occur in 6th century BCE China, but rather, the spread of his teachings and the establishment of Buddhism in China happened centuries later.