Write the relation `R={(a,b):b+1=2a,a,b in {1,2,3,….,10}}` in roaster form.

Write the relation R={(x,x^3)} :x is a prime number less than 10}in roaster form.

Is the relation R={(a,b),(b,a)} on the set {a,b,c} reflexive ?

Write down the range of the relation R={(a,a),(a,b),(c,d),(d,b)} defined on the set {a,b,c,d} .

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.

Write down the domain of the relation R={(1,1),(1,2),(1,3)} defined on the set {1,2,3} .

Write down the identity relation on the set A={1,2,3} .

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.

State the reasons for the relation R on the set { 1,2,3} given by R = { (1,2), (2,1)} not to be transitive.

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 A, a-b=2} is neither an empty relation nor a universal relation in the set A={0,1,2,3,4,5}