True or False 1. f: A-Awhere A = set of all people and f={(p1,p2): p1is a parent of p2} is a function. 2. Let B = {Aang, Katara, Sokka, Toph, Zuko}. Then f: B→B defined as f(x) = y which means "x is sitting immediately to the right of y at a round table" is a function. 3. Let {A, B} be a partition of Q. Then, x&A and x B for all x in Q.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 13E: 13. Consider the set of all nonempty subsets of . Determine whether the given relation on is...
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True or False
1. f: A→Awhere A = set of all people and f={(p1,p2): p1is a parent of p2} is a
function.
2. Let B = {Aang, Katara, Sokka, Toph, Zuko}. Then f: B→B defined as f(x) = y
which means "x is sitting immediately to the right of y at a round table" is a
function.
3. Let {A, B} be a partition of Q. Then, x&A and x&B for all x in Q.
4. Let 2 = set of all real numbers. Then, lim supno (1-n, ½) = {0}.
Transcribed Image Text:True or False 1. f: A→Awhere A = set of all people and f={(p1,p2): p1is a parent of p2} is a function. 2. Let B = {Aang, Katara, Sokka, Toph, Zuko}. Then f: B→B defined as f(x) = y which means "x is sitting immediately to the right of y at a round table" is a function. 3. Let {A, B} be a partition of Q. Then, x&A and x&B for all x in Q. 4. Let 2 = set of all real numbers. Then, lim supno (1-n, ½) = {0}.
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