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Q5 (a)Let U be the Universal set such that any set is its element. Consider the relation Son P(U) (the power set of U) given
Q5 (a)Let U be the Universal set such that any set is its element. Consider the relation Son P(U) (the power set of U) given by: S= {(A, B): (A, B e P(U))^(A C B)} Prove or disprove each of the properties of reflexivity, symmetry, and transitivity of S. (b) Prove or disprove without using horizontal line test whether each following function is one-to-one and/or onto: f: R R defined as f(x) = 3x + 5 (i) (ii) g: Z Z defined as g(x) = x + 7
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