Let A = = {1,2,3,4}, B = {5,6}, and C= = {7, 8, 9), and consider...
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Let A = = {1,2,3,4}, B = {5,6}, and C= = {7, 8, 9), and consider the relations R= {(1,8,), (3,9), (3, 7), (2, 7)} ≤ AXC S = = {(5,7), (6,8), (5,9)} ≤ B x C T = {(5, 1), (5,2), (6, 3), (6,4)} Bx A (a) Find Dom (R), Dom (S), Dom (T), Ran(R), Ran(S), and Ran (T). (b) Find R¹ and S-¹. (c) Find R-¹ o S. (e) Find To S-¹. (d) Find S-¹ o R. (f) Find RoT. Let A = = {1,2,3,4}, B = {5,6}, and C= = {7, 8, 9), and consider the relations R= {(1,8,), (3,9), (3, 7), (2, 7)} ≤ AXC S = = {(5,7), (6,8), (5,9)} ≤ B x C T = {(5, 1), (5,2), (6, 3), (6,4)} Bx A (a) Find Dom (R), Dom (S), Dom (T), Ran(R), Ran(S), and Ran (T). (b) Find R¹ and S-¹. (c) Find R-¹ o S. (e) Find To S-¹. (d) Find S-¹ o R. (f) Find RoT.
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