Which of the following groups developed a system of writing in pre-Columbian America?

The Inca did not develop a writing system in the traditional sense but instead used quipus, which were knotted strings to record information. While quipus served as an effective means of communication for accounting and administrative purposes, they do not constitute a written language comparable to the Maya's hieroglyphs.

The Iroquois, a group of Native American tribes in the Northeastern United States, did not have a system of writing prior to European contact. Their traditions and histories were primarily transmitted orally, and while they developed a form of written language later with the help of European missionaries, this was not a pre-Columbian system.

The Cherokee developed a syllabary in the early 19th century, created by Sequoyah. However, this system was established after the pre-Columbian era, making it inapplicable to the question regarding the development of writing systems in pre-Columbian America.