Thinking Mathematically (6th Edition)

Let$p$be you exercise. Let$q$be you do not feel energized. The form of the premises is \begin{align} & \underline{\begin{align} & p\vee q \\ & \sim p \\ \end{align}}\ \ \ \ \ \underline{\begin{array}{*{35}{l}} \text{You exercise or you do not feel energized}\text{.} \\ \text{I do not exercise}\text{.} \\ \end{array}} \\ & \therefore \ ?\ \ \ \ \ \ \ \ \ \ \ \ \text{Therefore, } \\ \end{align} The conclusion $q$ is valid because it forms the disjunctive reasoning of a valid argument when it follows the given premises. The conclusion can be$q$ translated as you do not feel energized.Therefore, the valid conclusion from the provided premises is you do not feel energized.