State whether the following relations are reflexive, symmetric and transitive: `R={(a,b) : a,b in Z and a+b is even }` in the set of integers, Z.

State whether the following relations are reflexive, symmetric and transitive: R={(x,y) : x,y in A, y =x+1} in the set A={1,2,3,4,5,6}

State whether the following relations are reflexive, symmetric and transitive: R={(x,y) : x,y in A, y is divisible by x} in the set A={1,2,3,4,5,6,7,8,}

State whether the following relations are reflexive, symmetric and transitive: R={(x,y) : x,y in A} x and y work at the same place. R={(x,y) : x,y in A} x is son of y. in the set A of all employees of ASEB.

In the set of integers Z, exmine whether the following relations are equivalence relations or not : R={(a,b) : a,b in Z} and a-b is divisible by 2.

In the set of integers Z, exmine whether the following relations are equivalence relations or not : R={(a,b) : a,b in Z and a

In the set of integers Z, exmine whether the following relations are equivalence relations or not : R={(a,b) : a,b in Z and a>b}

In the set of integers Z, exmine whether the following relations are equivalence relations or not : R={(a,b) : a,b in Z and ageb}

In the set of integers Z, examine whether the following relations are equivalence relations or not : R={(a,b) : a,b in Z and aleb}

State whether the following sets are null set or singleton set: {x|x in R,x!=x}

State whether the following sets are null set or singleton set: {x|x in R,x^2=-4}