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Q16 of 109 Page 1

Let A = {2, 3, 4, 5} and B = {1, 3, 4}. If R is the relation from A to B given by a R b iff “a is a divisor of b.” Write R as a set of ordered pairs.

Given A = {2, 3, 4, 5} and B = {1, 3, 4} and R is a relation from A to B which is true only iff “a is a divisor of b” i.e b is divisible by a.


⇒ R =A × B


⇒ R={(2,4),(4,4),(3,3)}


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14

If A = {3, 5, 7} and B = {2, 4, 9} and R is a relation given by “is less than”, write R as a set ordered pairs.

15

A = {1, 2, 3, 4, 5, 6, 7, 8} and if R = {(x,y) : y is one half of x; x, y ϵA} is a relation on A, then write R as a set of ordered pairs.

17

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

18

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Questions · 109
1. Relations
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