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Discrete Mathematics. Need Help
Let A be the set of all ordered pairs of positive integers and R be the relation defined on A where (a,b)R(c,d) means that ba=dc. a)Show that R is an equivalence relation. b)Find [(3, 5)] and [(7, 1)].
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A binary operation x defined on the set of integers is such that m x n =m+n+mn for all the integers m and n. Find the inverse of 5 under the operation, if the Identity element is o?
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Show that the relation R defined on set A of all polygons as R={(P1,P2):P1 and P2 have same number of sides},Is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3,4,5?
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The relation R on {1,2,3,...} where aRb means a/b for reflexive, symmetric, antisymmetric or transitive in the binary family. Also, the relation R on the set of all pepole where aRB means that a is at least as tall as b. Where is
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Which of the following are binary operation.justify your answer. (i) the operation . defined on Q by a.b =a(ba) (ii) the operation . defined on [0, pi] by x.y = cosxy also,for those operation which are binary operations,check
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which of the following are binary operation.justify your answer. (i) the operation . defined on Q by a.b =a(ba) (ii) the operation . defined on [0, pi] by x.y = cosxy also,for those operation which are binary operations,check
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