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a) Let V = f1, 2, :::, 7g and define R on V by xRy iff x - y is a multiple of 3. You should know by now that R is an equivalence relation on V . Suppose that this is so. Explain the partition of V induced by R.
b) Let A = {1, 2, 3, 4} and define R on P(A) -{Ø} by xRy iff x ∩y ≠Ø. Is R an equivalence relation? Describe
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let X be a nonempty set. let x belong to X. show that the collection l={ union subset of X : union = empty or belong U
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Three quantities a, b and c are said to be in harmonic progression if, In this case we observe that we have to consider three terms in o
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If the sides angles of a triangle ABC vary in such a way that it''s circum - radius remain constant. Prove that, da/cos A +db/cos B+dc/cos C=0
Describe the Sample of Exponents ? Imagine, for example, that you are the P.E. coach at your school, and you need to divide one of your classes into teams. Your team has 45 stu
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Simplify the following expression and state the coefficient of each variables (a)6m-4-2m+15 (b)4x+6y-3x+5y
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