Construct a Truth Table for the Statement $r \vee \sim(c \wedge q)$

question 174

Multiple Choice

Construct a truth table for the statement.
- $r \vee \sim(c \wedge q)$

• A)
• \(\begin{array}{cccc}
• \mathrm{r} & \mathrm{c} & \mathrm{q} & \mathrm{r}_{\vee} \sim(\mathrm{c} \wedge \mathrm{q}) \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• B)
• \(\begin{array}{ccccc}
• \mathrm{r} & \mathrm{c} & \mathrm{q} & \mathrm{r} \vee \sim(\mathrm{c} \wedge \mathrm{q}) \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{T}
• \end{array}\)

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Definitions:

Status Inconsistency

Occurs when an individual occupies several differently ranked statuses at the same time.

Class Inconsistency

A situation where an individual's socioeconomic status in different dimensions of social class (like occupation, education, and income) do not align, leading to contradictions in class identity.

Dalai Lama

The title given to the spiritual leaders of the Tibetan people, recognized for their significant role in Buddhism and Tibetan politics.

Mother Teresa

An Albanian-Indian Roman Catholic nun and missionary known for her charitable work with the poor and sick in Kolkata, India.