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, y =x+1} in the set A={1,2,3,4,5,6}

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} 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.

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

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

State whether each of the following binary relations on the set A={1, 2, 3} is reflexive, symmetric and transitive R={(1,1),(1,2),(2,3)}

State whether each of the following binary relations on the set A={1, 2, 3} is reflexive, symmetric and transitive R={(1,1),(1,3),(3,1)}

State whether each of the following binary relations on the set A={1, 2, 3} is reflexive, symmetric and transitive R={(1,1),(2,2),(1,2),(2,1)}

State whether each of the following binary relations on the set A={1, 2, 3} is reflexive, symmetric and transitive R={(1,1),(2,2),(3,3),(1,2),(2,1)}

State whether each of the following binary relations on the set A={1, 2, 3} is reflexive, symmetric and transitive R={(1,1),(2,2),(3,3),(1,2)}