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2. Relations
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Q9 of 65 Page 67

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).


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


(i) R is Foster Form is,


R = {(9, 14), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}


(ii) Dom(R) = {1, 2, 3, 4, 5, 9}


Range(R) = {6, 7, 8, 9, 10, 14}


More from this chapter

All 65 →
7

Let A = {(x, y): x + 3y = 12, x ϵ N and y ϵ N}.

(i) Write R in roster form.


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


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.


10

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).


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).


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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