6. The following statements about sets are false. For each statement, give an example, i.e., a choice of sets, for which the statement is false. Such examples are called counterexamples. They are examples that are counter to i.e., contrary to, the assertion. (a) AUBSAN B for all A, B. (b) ANØ = A for all A. (c) AN (BUC) = (ANB) UC for all A, B, C.

6. The following statements about sets are false. For each statement, give an example, i.e., a choice of sets, for which the statement is false. Such examples are called counterexamples. They are examples that are counter to i.e., contrary to, the assertion. (a) AUBSAN B for all A, B. (b) ANØ = A for all A. (c) AN (BUC) = (ANB) UC for all A, B, C.

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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