Let X be a nonempty set. Consider the relation C (subset) on P(X).1. Show that for any A, B theres exists P(X), sup({A, B}) = A U B and inf({A, B}) = A intersection B.2. Let A C P(X), i.e., A is a collection of subsets of X. Show that sup(A) Let X be a nonempty set. Consider the relation C on P(X).1. Show that for any A, B e P(X), sup({A, B}) = AU B and inf({A, B}) = An B.2. Let A C P(X), i.e., A is a collection of subsets of X. Show that sup(A) = [U A and inf(A) = N A.AEAAEA

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Let X be a nonempty set. Consider the relation C on P(X). 1. Show that for any A, B e P(X), sup({A, B}) = AU B and inf({A, B}) = An B. 2. Let A C P(X), i.e., A is a collection of subsets of X. Show that sup(A) = [U A and inf(A) = N A. AEA AEA

Let X be a nonempty set. Consider the relation C on P(X). 1. Show that for any A, B e P(X), sup({A, B}) = AU B and inf({A, B}) = An B. 2. Let A C P(X), i.e., A is a collection of subsets of X. Show that sup(A) = [U A and inf(A) = N A. AEA AEA

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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Let X be a nonempty set. Consider the relation C (subset) on P(X).

1. Show that for any A, B theres exists P(X), sup({A, B}) = A U B and inf({A, B}) = A intersection B.

2. Let A C P(X), i.e., A is a collection of subsets of X. Show that sup(A)

Let X be a nonempty set. Consider the relation C on P(X).
1. Show that for any A, B e P(X), sup({A, B}) = AU B and inf({A, B}) = An B.
2. Let A C P(X), i.e., A is a collection of subsets of X. Show that sup(A) = [U A and inf(A) = N A.
AEA
AEA

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