(A) Prove the Following Statement Using the Element Method for Proving

question 16

Essay

(a) Prove the following statement using the element method for proving that a set equals the empty set: For all sets $A$ and $B , A \cap ( B - A ) = \emptyset$ .
(b) Use the properties in Theorem $6.2 .2$ to prove the statement in part (a). Be sure to give a reason for every step.

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Definitions:

Indifference Curves

Graphical representations of different bundles of goods between which a consumer is indifferent, showing preferences over commodities.

Indifference Curves

Graphical representations in microeconomic theory depicting combinations of two goods between which a consumer is indifferent because they provide equal utility.

Bundles

Combinations of goods or services sold as a single package, often at a discounted rate compared to purchasing each item separately.

Indifferent

A state of having no preference between two or more alternatives, reflected in decision-making and consumer choice theory.