Disprove the Following Statement by fiNding a Counterexample $\text { For all sets } A , B \text {, and } C , A \cup ( B \cap C ) \subseteq ( A \cup B ) \cap C \text {. }$

question 8

Essay

Disprove the following statement by finding a counterexample. $\text { For all sets } A , B \text {, and } C , A \cup ( B \cap C ) \subseteq ( A \cup B ) \cap C \text {. }$

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Definitions:

Legalistic Authority

A form of leadership in which authority is largely tied to legal rules and principles, often embodied in a formalistic collection of rules.

Institutional Regulations

Rules and guidelines established by organizations or institutions to govern their operations and behavior of people within them.

Locked Down

A security protocol in which access to and from a facility or area is severely restricted.

Ad Hoc Discipline

A form of discipline implemented for a particular purpose or situation, often characterized by a lack of comprehensive planning or consistency.