Suppose n is greater than, or equal to 2 and a natural number. If there is a pairwise disjoint set such as A1, A2, ..., An (which means that Ax∩Ay = 0 for all 1 ≤ x < y ≤ n) and the addition principle states that |A1UA2U...UAn|=|A1|+|A2|+...+|An|. Then prove the two-set version of the addition principle using a mathematical proof.

Suppose n is greater than, or equal to 2 and a natural number. If there is a pairwise disjoint set such as A1, A2, ..., An (which means that Ax∩Ay = 0 for all 1 ≤ x < y ≤ n) and the addition principle states that |A1UA2U...UAn|=|A1|+|A2|+...+|An|. Then prove the two-set version of the addition principle using a mathematical proof.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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