State true or false: `R={(a,b) : a,b in A, |a-b| <5}` is an universal relation in the set `A={x : x in R, -50

State true or false: R={(a,b) : a,b in A, a-b=2} is neither an empty relation nor a universal relation in the set A={0,1,2,3,4,5}

State true or false: R= {(a,b) : a,b in A, ab=100} is an empty relation in the set A={ x : x in N, x<10}

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

State true or false: R={(a,b) : a+b=5} is an empty relation in the set of whole numbers.

State true / false: NcancelsubZ

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.

Show that the relation R={(a,b) : a,b in N and a|b} is not an equivalence relation in N where a|b means that a is a divisor of 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 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}