Make a Truth Table for the Given Statement B) C)

question 155

Multiple Choice

Make a truth table for the given statement. The letters p, q, r, s represent propositions.
-q and (not r) and s

• A)
• \(\begin{array}{l|l|l|l}
• \mathrm{q} & \mathrm{r} & \mathrm{s} & \mathrm{q} \text { and (not } \mathrm{r}) \text { and } \mathrm{s} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• B)
• \(\begin{array}{l|l|l|l}
• \mathrm{q} & \mathrm{r} & \mathrm{s} & \mathrm{q} \text { and (not } \mathrm{r}) \text { and } \mathrm{s} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• C)
• \(\begin{array}{l|l|l|l}
• \mathrm{q} & \mathrm{r} & \mathrm{s} & \mathrm{q} \text { and (not } \mathrm{r}) \text { and } s \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• D)
• \(\begin{array}{l|l|l|l}
• \mathrm{q} & \mathrm{r} & \mathrm{s} & \mathrm{q} \text { and (not } \mathrm{r} \text { ) and } \mathrm{s} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)

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Definitions:

Redness

A condition of the skin or other tissues characterized by being redder than usual, often as a sign of inflammation or infection.

Swelling

An abnormal enlargement of a body part or area, typically as a result of an accumulation of fluid or inflammation.

Localized Warmth

A specific area of the body experiencing an increase in temperature, often indicating an underlying condition or reaction.

Receptors

Proteins located on the surface of or within cells that bind to specific molecules like hormones, antigens, or neurotransmitters, initiating a cellular response.