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2. Relations
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Q5 of 65 Page 67

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).


Given: A = {2, 3, 4, 5} and B = {3, 6, 7, 10}


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


So, R in Roster Form,


R = {(2, 3), (2, 7), (3, 7), (3, 10), (4, 3), (4, 7), (5, 3), (5, 6), (5, 7)}


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


Range(R) = {3, 6, 7, 10}


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3

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

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


(i) Write R in roster form.


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


(iii) Depict R by an arrow diagram.


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).


6

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.


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).


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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