In what situation can the board not take action during a meeting?

The board's ability to take action is contingent upon meeting certain criteria, particularly with regard to quorum and decision-making procedures. In this context, the correct choice highlights that the board cannot take action if less than three members agree.

In most governing bodies, including the chiropractic board in Ohio, a specific number of members must concur to establish a majority or achieve the necessary quorum for decisions to be made. The requirement for a majority ensures that any actions taken are representative of a larger consensus among the board, rather than the decision of a small number of members. If an insufficient number of members agrees, it undermines the legitimacy of the decision-making process, preventing the board from moving forward with any resolutions or actions.

The other choices address different aspects that may affect a meeting but do not directly prevent the board from taking action in the same critical manner. For instance, even if only one member is present, a meeting may not convene, but this situation doesn’t directly correlate to whether action can be taken—it simply indicates the meeting's inability to proceed. The presence of a public representative is not necessary for the board to act, and while postponements may influence the meeting's agenda, they do not inherently prevent the continuation and execution of board actions. Thus,