Prove That $A \cap ( B \cup C ) = ( A \cap B ) \cup ( A \cap C )$

question 78

Essay

Prove that $A \cap ( B \cup C ) = ( A \cap B ) \cup ( A \cap C )$ by giving a proof using logical equivalence.

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Definitions:

Waiver

A voluntary relinquishment or surrender of some known right or privilege.

Release

A promise not to sue or press a claim, or a discharge of a person from any further responsibility to act.

Neurological Disease

A condition affecting the nervous system, including the brain, spinal cord, and nerves.

Specific Performance

A legal remedy that requires a party to perform a specific act, often the fulfillment of a contract, rather than simply paying damages for failing to fulfill it.