Write the Contrapositive of the Statement $\frac { 1 } { \mathrm { n } }$

question 62

Multiple Choice

Write the contrapositive of the statement. Then use the contrapositive to determine whether to conditional statement is true or false.
-If $\frac { 1 } { \mathrm { n } }$ is not an integer, then $\mathrm { n }$ is not an integer.

• A) If \(\mathrm { n }\) is an integer, then \(\frac { 1 } { \mathrm { n } }\) is an integer. false
• B) If \(\frac { 1 } { n }\) is an integer, then \(n\) is an integer. false
• C) If \(\frac { 1 } { n }\) is an integer, then \(n\) is an integer. true
• D) If \(\mathrm { n }\) is an integer, then \(\frac { 1 } { n }\) is an integer. true

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Definitions:

Social "Goods"

Benefits or positive outcomes that contribute to the well-being of a society or community, including both tangible resources and intangible elements like justice and safety.

Principle of Utility

A philosophical principle asserting that the best action is the one that maximizes overall happiness or pleasure and minimizes overall pain or harm.