Investigate the following theorems (h) For sets A, B and C we have i. A\(B ∪...

Investigate the following theorems

(h) For sets A, B and C we have

i. A\(B ∪ C) = (A\B) ∩ (A\C),

ii. A\(B ∩ C) = (A\B) ∪ (A\C),

iii. A ̸= B if and only if (A\B) ∪ (B\A) ̸= ∅,

iv. A ∪ B ⊆ C if and only if A ⊆ C and B ⊆ C.

What happens in the extreme case(s) where some (or all) sets are empty?

Expert Solution

Colby Messinger answered 2 years ago

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