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

question 14

Essay

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

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Definitions:

Mixed Numbers

Quantities that combine a whole number with a fraction less than one.

Lowest Terms

The simplest form of a fraction, with both the numerator and denominator reduced to their smallest possible numbers.

Fractions

A mathematical expression representing a part of a whole, usually in the form of a numerator and a denominator.

Higher Terms

A fraction in which both the numerator and denominator have been multiplied by the same number.