Laws of set algebra, Mathematics

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Laws of Set Algebra

From the given Venn diagram where T is the universal set and A its subset that we can deduce a number of laws as:

2367_Laws of Set Algebra.png

i. A υ Ø = A

ii. A υ T = T

iii. A υ A = A

iv. A ∩ A = A

v. A ∩ T = A

vi. A υ A1 = T

vii. A υ A1 = Ø

viii. (A1)1 = A


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