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:

Equilibrium Quantity

The amount of products or services available and sought after at the market's balance price.

Equilibrium Quantity

The quantity of goods or services supplied and demanded at the equilibrium price, where supply equals demand.

Excess Demand

A scenario in which the demand for a product or service surpasses the supply available at the existing price.

Surplus

An excess of production or supply over demand.