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Let U = {a1, a2, a3, ... , an, b1, b2, b3, ..., bm, C1, C2, C3, .. Cx} be a set roster of elements in universe U with subsets A, B, C and let R denote an equivalence relation with equivalence %3D classes [A] = Vn(an E A), [B] = Vm(bm E B), [C] = vk(ck € C). %3D %3D a) What would we expect to be true about [A] n [B] , [B]n [C], and [A] N [C]? b) Thinking about your response to the previous question, suppose it was found during an analysis of the elements of U that c; E A, for some i E N. Would [A] = [C] return True or return False? How do you know? ==

Let U = {a1, a2, a3, ... , an, b1, b2, b3, ..., bm, C1, C2, C3, .. Cx} be a set roster of elements in universe U with subsets A, B, C and let R denote an equivalence relation with equivalence %3D classes [A] = Vn(an E A), [B] = Vm(bm E B), [C] = vk(ck € C). %3D %3D a) What would we expect to be true about [A] n [B] , [B]n [C], and [A] N [C]? b) Thinking about your response to the previous question, suppose it was found during an analysis of the elements of U that c; E A, for some i E N. Would [A] = [C] return True or return False? How do you know? ==

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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The class I'm taking is computer science discrete structures.

I am completely stuck. Please help!

If you can please add an explanation with answer so I can better understand .

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{a1, a2,a3, ..., an,b1, b2, b3, ... , bm, C1, C2, C3, ... Ck} be a set roster of elements in universe U with subsets A, B, C and let R denote an equivalence relation with equivalence Let U = classes [A] = Vn(a, E A), [B] = Vm(bm E B), [C] = Vk(Ck E C). %3D a) What would we expect to be true about [A] N [B] , [B] n [C], and [A] N [C]? b) Thinking about your response to the previous question, suppose it was found during an analysis of the elements of U that c¡ E A, for some i E N. Would [A] == [C] return True or return False? How do you know?
Transcribed Image Text:{a1, a2,a3, ..., an,b1, b2, b3, ... , bm, C1, C2, C3, ... Ck} be a set roster of elements in universe U with subsets A, B, C and let R denote an equivalence relation with equivalence Let U = classes [A] = Vn(a, E A), [B] = Vm(bm E B), [C] = Vk(Ck E C). %3D a) What would we expect to be true about [A] N [B] , [B] n [C], and [A] N [C]? b) Thinking about your response to the previous question, suppose it was found during an analysis of the elements of U that c¡ E A, for some i E N. Would [A] == [C] return True or return False? How do you know?
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