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2. Relations
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Q10 of 65 Page 75

Let A = (1, 2, 3} and B = {4}

How many relations can be defined from A to B.


The number of relations from set A to set B =


n(A) = Number of elements in set A


n(B) = Number of elements in set B


Here,


n(A) = 3


n(B) = 1


Total number of relations =


= 8


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8

If A = {5} and B = {5, 6}, write down all possible subsets of A × B.

9

Let R = {(x, x2) : x is a prime number less than 10}.

(i) Write R in roster form.


(ii) Find dom (R) and range (R).


11

Let A = {3, 4, 5, 6} and R = {(a, b) : a, b ϵ A and a <b

(i) Write R in roster form.


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(iii) Write R–1 in roster form


12

Let R = {(a, b) : a, b, ϵ N and a < b}.

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Questions · 65
2. Relations
1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 A 1 B 1 C 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12
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