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WORKBOOK

(A  B)  (A  C) =……………………..

g) A  (B C) =…………………………….

(A  B)  (A  C)=……………………..

Example 14: If A  Bwrite   A   B    A B    in simplest form.


Properties of Intersection and Union Operations:

• Idempotent Law: For all A A  A  ...
A  A  ...

• Commutative Property: For all A and B A  B  .........

A  B  ........

• Associative Property: For all A ,B and C A  B C   ....A B  C...

A  B C   ...A B  C...

• Identity Element A   ...

A   ...

• The Distributive Law for intersection operation over union operation:

A ∩(B∪C) = (A…B)∪ (A…C)

• The Distributive Law for union operation over intersection operation:

A ∪ (B ∩C) = (A....B) ∩ (A...C)

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