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

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

Examine whether the following functions are one-one or not : f : Z rarr Z, f(x) = x^2+5

Given A = {1, 2, 3, 4} examine whether the following relations are functions from,A to A. {(3,1), (4, 2), (1,1)}.

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)}

Given A = {1, 2, 3, 4} examine whether the following relations are functions from,A to A. {(2,1), (3, 4), (1, 4), (4, 4)},