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 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}

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^2=b^2}

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.

Which.of the following relations are functions?f= {(a, x), (b, y), (c, z)}

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 true or false: R= {(a,b) : a,b in N , a+b>0} is an universal relation in N.

Find whether the operation * is a binary operation or not on the given set : a**b=a^b on N

Find whether the operation * is a binary operation or not on the given set : a**b=|a-b| on Z.

Are the following relations true? If not, illustrate with examples. (a-b)+b =a