Urgent! pls help solve this math problems
Prove, without using Venn diagrams, that
(a) A ∩(B U C) = (A ∩B) U (A ∩C) and
(b) A U (B ∩ C) = (A U B) ∩( A U C),
for all sets A,B,C.
Math Questions, pls help?
2008-01-28 3:44 am
回答 (1)
2008-01-28 4:07 am
✔ 最佳答案
A ^ (B ∨ C)= A ^ B ∨ A ^ C (Distributive law, Associative? I forget the exact law)
= (A ^ B) ∨ (A ^ C) (Associative/Distributive?)
= (A ∩ B) U (A ∩ C)
A ∨ (B ^ C)
= A ∨ B ^ A ∨ C
= (A U B) ∩ (A UC)
^ => and
∨ => or
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收錄日期: 2021-05-02 21:01:16
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