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 Prove or disprove that if A,B, and C are sets then A(BC)=(AB)(AC)\text { Prove or disprove that if } A , B \text {, and } C \text { are sets then } A - ( B \cap C ) = ( A - B ) \cap ( A - C ) \text {. }

question 11

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 Prove or disprove that if A,B, and C are sets then A(BC)=(AB)(AC)\text { Prove or disprove that if } A , B \text {, and } C \text { are sets then } A - ( B \cap C ) = ( A - B ) \cap ( A - C ) \text {. }

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Definitions:

Compound

A substance made up of two or more different elements chemically bonded together in a fixed ratio.

Mutually Exclusive

Two events that cannot happen at the same time in a given experiment or situation.

P(A|B)

The conditional probability of event A occurring given that event B has occurred.

P(A And B)

The probability that both event A and event B occur at the same time.

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