Consider the following statement. Assume that all sets are subsets of a universal set U.For all sets A and B, if A C B then B C A°.Use an element argument to construct a proof for the statement by putting selected sentences from the following scrambled list in the correct order.Therefore, by definition of complement x E A, and thus, by definition of subset, B CA.Hence, x € A, because A NB = 0.By definition of complement, x € B.Suppose A and B are any sets such that AC B, and suppose x E B.If x were in A, then x would have to be in B by definition of subset. But x B, and so x A.Suppose A and B are any sets such that A C B, and suppose x E B.Proof:1..--Select---2.---Select---3. --Select---4. |--Select---

In this question, concept of element argument is applied.

Answered: the wing tatemer Assume that all sets…

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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