Discrete math for Computer Science, Sets: Binary relations / Functions

Please show work

1. Test the following binary relations on the given sets S for reflexivity, symmetry, anti-symmetry, and transitivity. Check whether the binary relations are equivalence, and/or partial/total ordering relations or neither, describe the equivalence classes if applicable. b)S -P(fa, b, c, d, e, f, g, h, il)[p: Power set], (A.B) belongs to R, if and only if |Al BI. c) S = N [N: set of positive integers]. (x, y) belongs to R, if and only if x2-y2 is even. [x: stands for x squared]