More laws on set operations

Here are more laws on set operations:

  • 5. Associative laws:

          A∪(B∪C)=(A∪B)UC

          A∩(B∩C)=(A∩B)∩C

    .
  • 6. Distributive laws:

          A∪(B∩C)=(A∪B)∩(A∪C)

          A∩(B∪C)=(A∩B)∪(A∩C).

  • 7. De Morgan's laws:

          (i)(A∪B)'=A'∩B'.

          (ii)(A∩B)'=A'∪B'.

          (iii)A-(B∪C)=(A-B)∩(A-C).

          (iv)A-(B∩C)=(A-B)∪(A-C)




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