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10 of 10 Determine whether each relation is an equivalence relation. Justify your answer. If the relation is an equivalence relation, then describe the partition defined by the equivalence classes. (a) The domain is a group of people. Person r is related to person y under relation A/ if r and y have the same favorite color. You can assume that there is at least one pair in the group, r and y, such that rMy. (b) The domain is the set of all integers. rEy if r+y is even. An integer z is even if z = 2k for some integer k.

10 of 10 Determine whether each relation is an equivalence relation. Justify your answer. If the relation is an equivalence relation, then describe the partition defined by the equivalence classes. (a) The domain is a group of people. Person r is related to person y under relation A/ if r and y have the same favorite color. You can assume that there is at least one pair in the group, r and y, such that rMy. (b) The domain is the set of all integers. rEy if r+y is even. An integer z is even if z = 2k for some integer k.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Discrete Mathematics I need help with this 2 park problem. Part A Part B
plony:0 S- t.tex - TeXstudio part label tiny 10 of 10 Determine whether each relation is an equivalence relation. Justify your answer. If the relation is an equivalence relation, then describe the partition defined by the equivalence classes. (a) The domain is a group of people. Person r is related to person y under relation AM if r and y have the same favorite color. You can assume that there is at least one pair in the group, r and y, such that rMy. (b) The domain is the set of all integers. rEy if r +y is even. An integer z is even if z =2k for somne integer k.
Transcribed Image Text:plony:0 S- t.tex - TeXstudio part label tiny 10 of 10 Determine whether each relation is an equivalence relation. Justify your answer. If the relation is an equivalence relation, then describe the partition defined by the equivalence classes. (a) The domain is a group of people. Person r is related to person y under relation AM if r and y have the same favorite color. You can assume that there is at least one pair in the group, r and y, such that rMy. (b) The domain is the set of all integers. rEy if r +y is even. An integer z is even if z =2k for somne integer k.
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