Let P Represent the Statement, ʺJim Plays Footballʺ, and Let $p \wedge q$

question 27

Multiple Choice

Let p represent the statement, ʺJim plays footballʺ, and let q represent ʺMichael plays basketballʺ. Convert the compound statements into symbols.
-Jim does not play football or Michael does not play basketball.

• A) \(p \wedge q\)
• B) \(\sim \mathrm { p } \vee \sim \mathrm { q }\)
• C) \(\sim p \wedge \sim q\)
• D) \(\sim ( \mathrm { p } \vee \mathrm { q } )\)

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Definitions:

Common Sense

Practical judgment concerning everyday matters, or a basic ability to perceive, understand, and judge in a manner that is shared by (common to) nearly all people.

Oversimplification

The reduction of a complex issue or idea to simplistic terms, often ignoring nuances and complexities.

Argument By Anecdote

A logical fallacy where a general conclusion is drawn from a few personal stories or isolated instances rather than from systematic analysis.

Clinical Psychology

A branch of psychology focused on diagnosing and treating mental, emotional, and behavioral disorders through various therapeutic techniques.