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2. Relations
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Q10 of 65 Page 67

Let A = {1, 2, 3, 4, 6} and R = {(a, b) : a, b ϵ A, and a divides b}.

(i) Write R in roster form.


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


Given: A = {1, 2, 3, 4, 6}


(i) R = {(a, b) : a, b ϵ A, and a divides b}


R is Foster Form is,


R = {(1, 2), (1, 3), (1, 4), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (6, 6)}


(ii) Dom(R) = {1, 2, 3, 4, 6}


Range(R) = {2, 3, 4, 6}


More from this chapter

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8

Let A = {1, 2, 3, 4, 5, 6}.

Define a relation R from A to A by R = {(x, y): y = x + 1}.


(i) Write R in roster form.


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


(iii) What is its co-domain?


(iv) Depict R by using arrow diagram.


9

Let R = {(x, x + 5): x ϵ {9, 1, 2, 3, 4, 5}}.

(i) Write R in roster form.


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


11

Define a relation R from Z to Z, given by

R = {(a, b): a, b ϵ Z and (a – b) is an integer.


Find dom (R) and range (R).


12

Let R = {(x, y): x, y ϵ Z and x2 + y2 ≤ 4}.

(i) Write R in roster form.


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


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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