Consider the following statement. Assume that all sets are subsets of a universal set U. For all sets A and B, if A CB then 8°CA. Use an element argument to construct a proof for the statement by putting selected sentences from the following scrambled list in the correct order. By definition of complement, xE B. Suppose A and B are any sets such that A C B, and suppose x E B". Suppose A and B are any sets such that A C B, and suppose x E B. Therefore, by definition of complement x € A°, and thus, by definition of subset, B c A°. If x were in A, then x would have to be in B by definition of subset. But xe B, and so x E A. Hence, x E A, because A NB = 0. Proof: 1. ---Select--- 2. ---Select- 3. -Select--- 4. -Select--- Need Help? Read It Submit Answer

Consider the following statement. Assume that all sets are subsets of a universal set U. For all sets A and B, if A CB then 8°CA. Use an element argument to construct a proof for the statement by putting selected sentences from the following scrambled list in the correct order. By definition of complement, xE B. Suppose A and B are any sets such that A C B, and suppose x E B". Suppose A and B are any sets such that A C B, and suppose x E B. Therefore, by definition of complement x € A°, and thus, by definition of subset, B c A°. If x were in A, then x would have to be in B by definition of subset. But xe B, and so x E A. Hence, x E A, because A NB = 0. Proof: 1. ---Select--- 2. ---Select- 3. -Select--- 4. -Select--- Need Help? Read It Submit Answer

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.1: Sets And Geometry

Problem 12E: For the sets given in Exercise 9, is there a distributive relationship for intersection with respect...

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