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. - IA [ d) (4×B)U(C×D)=(AUC)x(BUD) e) (A×B)\(C×D)=(4\C)x(B\D)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 2TFE: Label each of the following statements as either true or false. 2. for all nonempty sets A and B.
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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.
- IA [
d) (A×B)U(C×D)=(AUC)x(BUD)
e) (A×B)\(C×D)=(4\C)x(B\D)
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. - IA [ d) (A×B)U(C×D)=(AUC)x(BUD) e) (A×B)\(C×D)=(4\C)x(B\D)
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