Floyd Reese
07/03/2024 · Senior High School

\begin{tabular}{l} Score on last try: 0 of 5 pts. See Details for more. \\ \( > \) Next question \\ Consider the following simple statements. \\ \( t \) The radial tires are included. \\ \( w: \) Wi-Fi is optional. \\ Translate the following symbolic compound statement into \\ words: \( (s \wedge w) \) \\ If the radial tires are included, then the sunroof is \\ extra and Wi-Fi is optional. \\ If the radial tires are included, then the sunroof is \\ extra and Wi-Fi is not optional. \\ If the radial tires are included, then the sunroof is \\ not extra and Wi-Fi is optional. \\ if the radial tires are not included, then the sunroof \\ is extra and Wi-Fi is optional. \\ \hline\end{tabular}

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To translate the symbolic compound statement \( (s \wedge w) \) into words, we first need to understand the symbols involved: - Let \( s \) represent the statement "the sunroof is extra." - Let \( w \) represent the statement "Wi-Fi is optional." The symbol \( \wedge \) represents the logical conjunction "and." Therefore, the expression \( (s \wedge w) \) translates to: "The sunroof is extra and Wi-Fi is optional." Now, let's analyze the other statements provided: 1. "If the radial tires are included, then the sunroof is extra and Wi-Fi is optional." 2. "If the radial tires are included, then the sunroof is extra and Wi-Fi is not optional." 3. "If the radial tires are included, then the sunroof is not extra and Wi-Fi is optional." 4. "If the radial tires are not included, then the sunroof is extra and Wi-Fi is optional." These statements are conditional statements that involve the inclusion of radial tires and their implications on the sunroof and Wi-Fi options. If you need to identify which of these statements corresponds to a specific logical form or if you need further assistance with logical translations, please provide more context or specify your request!

Quick Answer

The symbolic statement \( (s \wedge w) \) means "The sunroof is extra and Wi-Fi is optional."
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