discrete structure hi there could you help me with these two questions 2. (MS) Consider the relation R5 on P({0,1,2,3}) such that (A, B) e R5 if and only if |A| = |B|.Select all that are true:%3D1. R5 is reflexive2. R5 is symmetric3. R5 is transitive4. R5 is an equivalence relation 1. (MS) Consider the relation R3 on P({0,1, 2, 3}) such that (A, B) e R3 if and only if the sum ofelements in A is equal to the sum of elements in B and if A and B are nonempty then the largestelement in A equals the largest element in B. (That is, R3 = R1 0 R2.)Select all that are true:1. R3 is reflexive2. R3 is symmetric3. R3 is transitive4. R3 is an equivalence relation

Since you have posted multiple questions and we can answer one question. So, answering the first…

2. (MS) Consider the relation R5 on P({0,1,2,3}) such that (A, B) e Rz if and only if |A| = |B|. Select all that are true: %3D 1. R5 is reflexive 2. R5 is symmetric 3. R5 is transitive 4. R5 is an equivalence relation

2. (MS) Consider the relation R5 on P({0,1,2,3}) such that (A, B) e Rz if and only if |A| = |B|. Select all that are true: %3D 1. R5 is reflexive 2. R5 is symmetric 3. R5 is transitive 4. R5 is an equivalence relation

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 23E: 23. Let be the equivalence relation on defined by if and only if there exists an element in ...

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discrete structure

hi there could you help me with these two questions

2. (MS) Consider the relation R5 on P({0,1,2,3}) such that (A, B) e R5 if and only if |A| = |B|.
Select all that are true:
%3D
1. R5 is reflexive
2. R5 is symmetric
3. R5 is transitive
4. R5 is an equivalence relation

1. (MS) Consider the relation R3 on P({0,1, 2, 3}) such that (A, B) e R3 if and only if the sum of
elements in A is equal to the sum of elements in B and if A and B are nonempty then the largest
element in A equals the largest element in B. (That is, R3 = R1 0 R2.)
Select all that are true:
1. R3 is reflexive
2. R3 is symmetric
3. R3 is transitive
4. R3 is an equivalence relation

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