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.

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Chapter2: Second-order Linear Odes
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Discrete Mathematics I need help with this 2 park problem. Part A Part B
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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 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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