Construct a Truth Table for the Statement $\mathrm{r} \vee \sim(\mathrm{s} \wedge \mathrm{c})$

question 138

Multiple Choice

Construct a truth table for the statement.
- $\mathrm{r} \vee \sim(\mathrm{s} \wedge \mathrm{c})$

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

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Definitions:

Equity

The value of an owner's interest in a property or business, calculated by subtracting liabilities from assets.

Debits

Entries on the left-hand side of an account that represent the increase in assets or expenses or a decrease in liabilities, equity, or income.

Credits

Accounting entries that increase liabilities or equity accounts, or decrease asset or expense accounts, recorded on the right side of a ledger.

Accounts

Records that summarize and classify all financial transactions of a business, including assets, liabilities, equity, revenue, and expenses.