Category: Relations

7. Show that the relation R in the set A of all the books in a library of

6. Show that the relation R in the set {1,2,3} given by R={(1,2), (2,1)} is symmetric but neither

5. Check whether the relation R in R defined by R={(a,b) : a≤b3} is reflexive, symmetric or transitive.

4. Show that the relation R in R defined as R={(a,b) : a≤b}, is reflexive and transitive but

3. Check whether the relation R defined in the set {1,2,3,4,5,6} as R={(a,b) : b=a+1} is reflexive, symmetric

2. Show that the relation R in the set R of real numbers, defined as R={(a,b) : a≤b2}

1. Determine whether each of the following relations are reflexive, symmetric and transitive: (i) Relation R in the