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

---

Definitions:

RL Circuit

An electrical circuit composed of resistors (R) and inductors (L) used to analyze the behavior of circuits with respect to changing currents.

Power Values

Numerical quantifications that represent the rate at which energy is converted, transferred, or used in an electrical circuit, typically measured in watts.

Series RL Circuit

An electrical circuit comprising resistors (R) and inductors (L) arranged in a sequential manner, where the current through each component is the same.

Inductive Reactance

The opposition to the change of current flow through an inductor in an AC circuit, measured in ohms.