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Given set A = {1,2,3}, then the relation...

Given set A = {1,2,3}, then the relation : R = {(1,1),(2,2),(3,3)} is reflexive. (True/False)

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Relation given by 'R={(1,1),(2,2),(2,1)} is :

The relation R on the set A = {1, 2, 3} defined as R = {(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and transitive.

Is the relation R = (1,1), (2,2), (3,3) transitive on the set A = (1,2,3)?

If A = {1,2,3} and R = { (1,1}, ( 2,2), (3,3)} then R is reflexive, symmetric or transitive?

State is it reflexive A ={1,2,3} R= { (1,1) , (2,2 ), ( 3,3)}

Let A = {1, 2, 3}, then number of relations containing (1, 2) and (1, 3) which are reflexive and symmetric but not transitive is (a) 1, (b) 2, (c) 3, (d) 4 .

If R = {(1,-1),(2,-2),(3,-1)} is a relation, then find the range of R.

Show that the relation R in the set {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive but neither symmetric nor transitive.

Show that the relation R in the set {1, 2, 3} defined as R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive, but neither symmetric nor transitive.

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Write the domain of the relation R (a,a),(a,b),(a,c) defined on the s...

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  2. Write down the range of the relation R = (1,1), (1,2), (3,2), (4,2) de...

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  3. Given set A = {1,2,3}, then the relation : R = {(1,1),(2,2),(3,3)} is ...

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  4. Is the relation R = (a,a), (a,b), (b,b). Transitive on the set A = (a,...

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  5. Write down the identity relation on the set A = (x,y,z)

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  6. If A = {a, b, c, d} then a relation R = {(a, a), (b, b), (c, c), (d, d...

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  7. Is the relation R = (1,1), (2,2), (3,3) transitive on the set A = (1,2...

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  8. Write the domain of the relation R (a,a),(a,b),(a,c) defined on the s...

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  9. Let A = (1,2,3). For x,y in A, let x R y iff x < y. Write down R as a ...

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  10. Write the smallest reflexive relation on the set A = (a,b)

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  11. Let A = {0, 1, 2, 3} and define a relation R on A as follows : R = {...

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  12. Let A = {0, 1, 2, 3} and define a relation R on A as follows : R = {...

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  13. Let A = {0, 1, 2, 3} and define a relation R on A as follows : R = {...

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  14. For the set A = (1,2,3) define a relation R on the set A as follows: ...

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  15. Write the number of symmetric relations that can be defined on the set...

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  16. State the reason for the relation R, in the set {1,2,3} given by R= {(...

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  17. If R={(x,y):x+2y=8} is a relation on N write the range of R

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  18. If R = (x,y) , xy = 12 is a relation on N, write the domain of R.

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  19. Show that -a is not the inverse of a in N for the addition operati...

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  20. Let R be a relation from a set A to a set B, then:

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