Use a Short Form Truth Table to Answer the Following

question 32

Multiple Choice

Use a short form truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $$\begin{array} { l } \mathrm { C } \supset ( \mathrm { P } \cdot \mathrm { B } ) \\( \mathrm { P } \supset \mathrm { E } ) \cdot ( \mathrm { B } \supset \mathrm { W } ) \\( \mathrm { W } \cdot \mathrm { E } ) \supset \sim \mathrm { T } \\\mathrm { T }\\\sim \mathrm {C } \end{array}$$

• A)C: T P: T B: T E: T W: T T: T
• B)C: T P: T B: T E: F W: T T: T
• C)C: F P: T B: T E: F W: T T: T
• D)C: F P: F B: F E: F W: T T: T
• E)None-the argument is valid.

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Definitions:

Acid-Fast Bacilli

A group of bacteria, including Mycobacterium tuberculosis, that are resistant to decolorization by acids during staining procedures.

Tuberculosis

An infectious bacterial disease characterized by the growth of nodules (tubercles) in tissue, especially the lungs, which can spread through airborne particles.

Sputum Specimen

A sample of mucus and other materials expelled from the respiratory tract, collected for medical testing.

Hemoccult Testing

A diagnostic procedure used to detect blood in the feces, which can indicate gastrointestinal bleeding due to conditions such as colon cancer.