Prove That the Distributive Law Is True for All $n \geq 3$

question 18

Essay

Prove that the distributive law $A _ { 1 } \cap \left( A _ { 2 } \cup \cdots \cup A _ { n } \right) = \left( A _ { 1 } \cap A _ { 2 } \right) \cup \cdots \cup \left( A _ { 1 } \cap A _ { n } \right)$ is true for all $n \geq 3$

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Definitions:

Labor Union

An organized association of workers formed to protect and further their rights and interests.

Boycott

An organized refusal to buy, use, or engage with a company, country, or product as a form of protest.

Price Discrimination

A pricing strategy where a seller charges different prices for the same product or service to different customers, not based on cost differences but on consumers' willingness to pay.

Preference in Pricing

A practice where certain customers are offered better prices or terms than others, often based on the volume of business, loyalty, or strategic importance.