17. Equivalence relations 1. Let X = {a, b, c, d, e, f} and R be the relation on X defined by R= {(a, a), (a, b), (a, e), (b, a), (b, b), (b, e), (c, c), (c, f), (d, d), (e, a), (e, b), (e, e), (ƒ,...


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17. Equivalence relations<br>1. Let X = {a, b, c, d, e, f} and R be the relation on X defined by R= {(a, a), (a, b), (a, e),<br>(b, a), (b, b), (b, e), (c, c), (c, f), (d, d), (e, a), (e, b), (e, e), (ƒ, c), (f, f)}. Is R an<br>equivalence relation? If so, draw a digraph and give the equivalence classes. If not, give an example,<br>showing why.<br>

Extracted text: 17. Equivalence relations 1. Let X = {a, b, c, d, e, f} and R be the relation on X defined by R= {(a, a), (a, b), (a, e), (b, a), (b, b), (b, e), (c, c), (c, f), (d, d), (e, a), (e, b), (e, e), (ƒ, c), (f, f)}. Is R an equivalence relation? If so, draw a digraph and give the equivalence classes. If not, give an example, showing why.

Jun 03, 2022
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