Sometimes we write a ~ b instead of (a, b) E R. In this notation, a relation ~ on a set X is Reflexive "D~DX DA J! Symmetric 'D ~ q + q ~D q X > q'DA J! Antisymmetric if Va, bEX a~ bAb~ a - a= b. Transitive if Va, b, c E X a ~ b A b ~ c => a ~ c. 4. For each relation on R, decide whether the relation is reflexive, symmetric, antisymmetric, and transitive. No justification required if "yes" but provide example if "no". Is it a partial order? Is it an equivalence relation? (a) R1 = {(x,y) |xty=5} (c) * R3 = { (x, y) | xzy} (e) R5 = {(x, y) | y= 22} (b) R2 = { (2, y) | x = y} (d) * RA = {(x, y) | x