Consider the Statement "The Square of Any Odd Integer Is $\forall$

question 6

Essay

Consider the statement "The square of any odd integer is odd."
(a) Rewrite the statement in the form $\forall$ ___ $n$ ,____. (Do not use the words "if" or "then.")
(b) Rewrite the statement in the form $\forall$ ______ $n$ , if ____then_____ (Make sure you use the variable $n$ when you fill in each of the second two blanks.)
(c) Write a negation for the statement.

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Definitions:

Psychological Elder Abuse

A form of elder mistreatment involving emotional or mental harm inflicted on an older person, often manifesting through manipulation, neglect, or verbal assault.

Physical Elder Abuse

Occurs when someone hits or handles a person roughly, even if there is no injury.

Elder Neglect

Occurs when a person fails to provide an older person with the necessities of life, such as food, clothing, shelter, medical attention, personal care, and required supervision.

Sexual Elder Abuse

Occurs when an older adult is forced to engage in sexual activity; this may include verbal suggestive behaviour, sexual touching, sex without consent, or not respecting a person’s privacy.