Final answer:
The question involves using set theory principles to analyze survey data about device usage. It is determined that 44 persons carried neither device and 29 carried only a cell phone, thus refuting the provided options A and D.
Step-by-step explanation:
The subject of this question is Mathematics, specifically set theory or probability theory applied to survey results. The survey at TCC found 30 persons carried a cell phone, 13 carried a tablet, and 1 person carried both. To find out how many persons carried neither, we need to subtract the number of people carrying at least one device from the total number surveyed. Since one person has both, we should not double-count them. The calculation is 30 (cell phones) + 13 (tablets) - 1 (both) = 42 have at least one device. Therefore, 86 (total surveyed) - 42 (with at least one device) = 44 persons carried neither device, which suggests that option A is incorrect. To find those who carried only a cell phone, we subtract the 1 person who has both from the total number of cell phone users: 30 (cell phone users) - 1 (both) = 29 persons carried only a cell phone, which means option D is also incorrect.