Answered: a) Suppose A is a finite set and B is…

a) Suppose A is a finite set and B is any set. Show that |A| = |A\ B| + |A n B|. (Hint: Use Theorem 8.1.7.) b) Suppose A and B are finite sets. Show that |AU B| = |A \ B| + |B|.

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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Question

a) Suppose A is a finite set and B is any set. Show that |A| = |A\ B| + |A n B|.
(Hint: Use Theorem 8.1.7.)
b) Suppose A and B are finite sets. Show that |AU B| = |A \ B| + |B|.

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