Prove each of the following results without using Venn diagrams or membership tables. (Assume a universe U.)
Question:
(a) If A ⊂ B and C ⊂ D, then A ∩ C ⊂ B ∩ D and A ∪ C ⊂ B ∪ D.
(b) A ⊂ B if and only if A ∩ = θ.
(c) A ⊂ B if and only if ∪ B = °U.
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a x A c x A and x C x B and x D since A B and C D x B D so A C B D x A U C x A o...View the full answer
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Related Book For 
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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