Question

Let S =50, 1, 2, 4, 66. Test the following binary relations on S for reflexivity, symmetry, antisymmetry, and transitivity. a. r ={(0, 0), (1, 1), (2, 2), (4, 4), (6, 6), (0, 1), (1, 2), (2, 4), (4, 6)} b. r ={(0, 1), (1, 0), (2, 4), (4, 2), (4, 6), (6, 4)}c. r ={(0, 1), (1, 2), (0, 2), (2, 0), (2, 1), (1, 0), (0, 0), (1, 1), (2, 2)} d. r ={(0, 0), (1, 1), (2, 2), (4, 4), (6, 6), (4, 6), (6, 4)}e. r

Answer 1

Let S =50, 1, 2, 4, 66. Test the following binary relations on S for reflexivity, symmetry, antisymmetry, and transitivity. a. r ={(0, 0), (1, 1), (2, 2), (4, 4), (6, 6), (0, 1), (1, 2), (2, 4), (4, 6)} b. r ={(0, 1), (1, 0), (2, 4), (4, 2), (4, 6), (6, 4)}c. r ={(0, 1), (1, 2), (0, 2), (2, 0), (2, 1), (1, 0), (0, 0), (1, 1), (2, 2)} d. r ={(0, 0), (1, 1), (2, 2), (4, 4), (6, 6), (4, 6), (6, 4)}e. r

Explanation: