Question

consider the following simple statements.

\\(t\\): the radial tires are included.
\\(s\\): the sunroof is extra.
\\(w\\): wi-fi is optional.

translate the following symbolic compound statement into words:

\\\sim s \wedge \sim w\\

• the sunroof is extra and wi-fi is optional.
• the sunroof is not extra and wi-fi is not optional.
• the sunroof is not extra, or wi-fi is not optional.
• the sunroof is extra or wi-fi is optional.

Explanation:

Identify the components of the symbolic statement

$$
LATEXBLOCK0
$$

Translate the logical connective

$$
LATEXBLOCK1
$$

Combine the translated components

$$
LATEXBLOCK2
$$

Answer:

• The sunroof is extra and Wi-Fi is optional.
• The sunroof is not extra and Wi-Fi is not optional. (Correct answer)
• The sunroof is not extra, or Wi-Fi is not optional.
• The sunroof is extra or Wi-Fi is optional.