Prove the Following Statement Using an Element Argument and Reasoning $\text { For all sets } A , B \text {, and } C , ( A \cup B ) \cap C \subseteq A \cup ( B \cap C ) \text {. }$

question 14

Essay

Prove the following statement using an element argument and reasoning directly from the
definitions of union, intersection, set difference. $\text { For all sets } A , B \text {, and } C , ( A \cup B ) \cap C \subseteq A \cup ( B \cap C ) \text {. }$

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Definitions:

Personality Clusters

These are groupings of traits that are often found together in individuals, helping in the assessment and understanding of different personality types.

Dramatic-impulsive

Personality traits marked by expressive, unpredictable, and often erratic behaviors, emphasizing immediate gratification.

Odd-eccentric

This term relates to behaviors or personality traits that are unusual or deviate significantly from cultural norms, often associated with certain personality disorders.

Anxious-fearful

A personality disposition characterized by high levels of anxiety and fear.