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

question 22

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 and Michael does not play basketball.

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

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Definitions:

Expression

A combination of symbols that represent a quantity or a relationship between quantities, often including variables and constants.

Z

In statistics, \(Z\) often represents the z-score, a measure of how many standard deviations an element is from the mean.

Simplify

Reduction of expressions or equations to their simplest form by performing available operations.

Expression

A combination of numbers, variables, and operations that together represent a particular value.