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:

Francis E. Townsend

An American physician who was a prominent advocate for the elderly, known for proposing the Townsend Plan, a precursor to Social Security.

Government Payments

Financial disbursements made by the government to individuals, corporations, or other governments to fulfill obligations or provide support in the form of subsidies, benefits, or grants.

Second New Deal

A series of social welfare programs and reforms introduced in 1935-1936 by President Franklin D. Roosevelt in response to weaknesses left unaddressed by the first New Deal.