Question

Suppose C = {a,b,c, d, e} and suppose we have a relation y which is transi- tive, and reflexive, we have ayb, byc, ayd, aye, cya. 1. Find all arrows which are a consequence of the given relations, and the relation properties. 2. Draw a diagram of your 7. , and 3. Compute the subrelation , consisting of all reversible arrows in find the equivalence classes. [There are three] 4. Draw the relation on the equivalence classes. 5. If this was a sporting contests, and you could you play just tw more, which two would you take to completely order the classes.

Answer 1

Solution; since rise me since & is reflexive so aya, byb, etc, ded; ere, Aguin arb and bre so are by to ansitivity ofre . boc and era at bra Yow, ora and arba @rb. exte ie cra and arde is agd n сұ4 мм 94е го сте Hence from transitivity off and to the given relations we get aro, erb, pxa, creobgas.lt Diagram of body ol

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