. Let X = {1,2,3, 4} and Y = {a, b, c}. Let R C X x X be a relation on X given by TRy if, and only if, x < y. Let S C X × Y be a relation between X and Y given by %3D the matrix: 1 0 0' 0 0 1 0 1 0 1 0 0 Ms = (a) Represent R as a set of ordered pairs; (b) Represent S as a set of ordered pairs; (c) Represent S in graphical form; (d) Find the matrix Mg representing the relation R (e) Use Boolean matrix multiplication to find the matrix M5.R representing the composition S o R.

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