a) Ac B and A CC→AC(BUC) b) AcB or AcC→Ac(BUC) c) AU(B-C)=(AUB)-(AUC)

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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1. Determine which of the following statements are true for all sets A,
B, C, and D. If a double implication fails, determine whether one or
the other of the possible implications holds. If an equality fails,
determine whether the statement becomes true if the "equals"
symbol is replaced by one or the other of the inclusion symbols c
or 5.
a) AcB and A CCAC(BUC)
b) Ac B or AcC→Ac(BUC)
c) AU(B-C)=(AUB)-(AUC)
d) AcC and B- C=(Ax B)c(Cx D)
e) (A x B)-(C x D)=(A-C) x (B-D)
MIND
Transcribed Image Text:1. Determine which of the following statements are true for all sets A, B, C, and D. If a double implication fails, determine whether one or the other of the possible implications holds. If an equality fails, determine whether the statement becomes true if the "equals" symbol is replaced by one or the other of the inclusion symbols c or 5. a) AcB and A CCAC(BUC) b) Ac B or AcC→Ac(BUC) c) AU(B-C)=(AUB)-(AUC) d) AcC and B- C=(Ax B)c(Cx D) e) (A x B)-(C x D)=(A-C) x (B-D) MIND
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