500
For the following relations, drawn the correct graph represenation and determine whether they are reflexive, symmetric, antisymmertric, and/or transitive. 1.) For the set T = { {a,b}, {a}, {b}, {a,b,c} } R is the relation xRy if X ⊆ Y where X and Y are elements of T. 2.) For the set S = {5, 6, 7, 8, 9, 10} let R be the relation defined on S by the condition such that for all x, y ∈ S, xRy if (x + y) is a multiple of 3.
What is First Graph: Reflexive, Transitive, and Antisymmetric Second Graph: Symmetric