Mathematics, 03.04.2020 22:03 Bringuplana
Proof: Suppose A, B, and C are any sets. [To show that A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C), we must show that A ∩ (B ∪ C) ⊆ (A ∩ B) ∪ (A ∩ C) and that (A ∩ B) ∪ (A ∩ C) ⊆ A ∩ (B ∪ C).] g
Answers: 2
is a subset of another set 
, you have to show that any element 
also belongs to 
. By definition of intersection, both 
and 
. By definition of union, either 
or 
. If 
; if 
. Either way, 
. Hence 
.
.
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Proof: Suppose A, B, and C are any sets. [To show that A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C), we must show...
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