Assignment:
S = {0, 1, 2, 4, 6}
Test the binary relations on S for reflexivity, symmetry ,antisymmetry, and transitivity. Also find the reflexive, symmetric and transitive closure of each relations.
A) P = {(0,0), (1,1), (2,2), (4,4), (6,6), (0,1), (1,2), (2,4), (4,6) }
B) P {(0,1), (1,0), (2,4), (4,2), (4,6), (6,4)}
C) P ((0,0), (1,1), (2,2), 4,4), (6,6), (4,6), (6,4)}
D) P = everything not equal to 0
Provide complete and step by step solution for the question and show calculations and use formulas.