Q22 of 109 Page 1

Let the relation R be defined on the set A = {1, 2, 3, 4, 5} by R = {(a, b) : |a2 – b2| < 8}. Write R as a set of ordered pairs.

Given a set A = {1, 2, 3, 4, 5} and relation R = {(a, b) : |a2 – b2| < 8}


Now according to the question |a2 – b2| < 8


⇒ R = {(1,1),(2,2), (3,3), (4,4), (5,5), (1,2), (2,1), (2,3), (3,2), (3,4), (4,3),}


More from this chapter

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20

For the set A = {1, 2, 3}, define a relation R on the set A as follows:

R = {(1, 1), (2, 2), (3, 3), (1, 3)}


Write the ordered pairs to be added to R to make the smallest equivalence relation.


 21

Let A = {0, 1, 2, 3} and R be a relation on A defined as

F = {(0, 0) (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}


Is R reflexive? Symmetric” transitive?


 23

Let the relation R be defined on N by a Rb iff 2a + 3b = 30. Then write R as a set of ordered pairs.

 24

Write the smallest equivalence relation on the set A = {1, 2, 3}.