1. Let the universal set be Q2 = {0, 1, 2, ..., 7}. Let A denote the odd integers in 2, and B = {0, 1, 2, 3). What are the following: (f) Øc, (g) 1A (3) + 1B (3), where 1A (x) is the indicator function of A. That is, 1A = 1, for x € A; 0, for x # A. and Dc , then 1 cup (x) = 1c(x) + (h) Prove or disprove: If C C 1D(x). (i) Prove or disprove: If C C 22 and DC 2, then 1 CD (x) = 1c(x) 1D (x).

1. Let the universal set be Q2 = {0, 1, 2, ..., 7}. Let A denote the odd integers in 2, and B = {0, 1, 2, 3). What are the following: (f) Øc, (g) 1A (3) + 1B (3), where 1A (x) is the indicator function of A. That is, 1A = 1, for x € A; 0, for x # A. and Dc , then 1 cup (x) = 1c(x) + (h) Prove or disprove: If C C 1D(x). (i) Prove or disprove: If C C 22 and DC 2, then 1 CD (x) = 1c(x) 1D (x).

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...

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