Determine whether the following relations on the set of integers are reflexive , symmetric, antisymmetric and/or transitive. Go ahead and use the abbreviations R, S, A, and T to give your answers. a. {(x,y)|x> y} b. {(x,y)| x+y is even}

Adding to more parts of same question: 7: f(i)≠f(i+1) for all i ∈ Z  set , number, statement or meaningless 8:{n∈Z: f(n)∈ AUBUC} set, number, statement or meaningless

prove why each relation has or does not have theproperties: reflexive, symmetric, anti-symmetric, transitive. 4) Z+ is the set of positive integers, relation R: Z+x Z+, a,b,c,d ∈ Z+; (a,b),(c,d) ∈ R if an only if   a + d = b + c.

Please do the following questions with handwritten working out