Final answer:
The statement is false; the last step of problem-solving often involves verification and reflection, not just selecting the best solution.
Step-by-step explanation:
The statement that the last step in the six-step problem-solving method is selecting the best solution is false. Problem-solving methodologies, especially in mathematics and other disciplines, typically follow a structured approach that extends beyond selecting an option. The general steps often include understanding the problem, devising a plan, carrying out the plan, and then looking back to review and check the work. The last step usually involves evaluating the results of the solution to ensure its correctness and reasonableness, and reflecting on the solution process to learn from the experience and apply it to future problems.
Therefore, while selecting the best solution is a critical step, it is not the final step. The final step often involves verification and reflection rather than selection, which typically happens before executing the solution.