Final answer:
Women in Sumerian society had active roles in overseeing family businesses, managing textile production, and holding managerial positions within the textile industry.
Step-by-step explanation:
According to the Epic of Gilgamesh, the role of women in Sumerian society varied. While women did not hold positions of political power and leadership, they were not limited to domestic responsibilities either. Women were actively engaged in overseeing family businesses, managing textile production, and holding managerial positions within the textile industry. They played an important role in the economic and social aspects of Sumerian society.