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can i get help with 14 a and c Test the following binary relations on the given sets S for reflexivity, symmetry, antisymmetric, and transitivity.

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Test the following binary relations on the given sets S for reflexivity, symmetry, antisymmetric, and transitivity. S = set of all finite-length strings of characters x rho y doubleheadarrow number of characters in x = number of characters in y S = {0, 1, 2, 3, 4, 5} x rho y doubleheadarrow x + y = 5 S = s ({1, 2, 3, 4, 5, 6, 7, 8, 9}) A rho B doubleheadarrow |A| = |B| S = s ({1, 2, 3, 4, 5, 6, 7, 8, 9}) A rho B doubleheadarrow |A| notequalto |B| S = N times N (x_1, y_1) rho (x_2, y_2) doubleheadarrow x_1 lessthanorequalto x_2 and y_1 greaterthanorequalto y_2

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