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2. Relations
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Q6 of 65 Page 67

Let A = {1, 2, 3, 5} AND B = {4, 6, 9}.

Let R = {(x, y): x ϵ A, y ϵ B and (x – y) is odd}.


Write R in roster form.


Given: A = {1, 2, 3, 5} AND B = {4, 6, 9}


R = {(x, y): x ϵ A, y ϵ B and (x – y) is odd}


Therefore, R in Roster Form is,


R = {(1, 4), (1, 6), (2, 9), (3, 4), (3, 6), (5, 4), (5, 6)}


More from this chapter

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4

Let A = {2, 4, 5, 7} and b = {1, 2, 3, 4, 5, 6, 7, 8}.

Let R = {(x, y) x ϵ A, y ϵ B and x divides y}.


(i) Write R in roster form.


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


5

Let A = {2, 3, 4, 5} and B = {3, 6, 7, 10}.

Let R = {(x, y): x ϵ A, y ϵ B and x is relatively prime to y}.


(i) Write R in roster form.


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


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.


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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