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2. Relations
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Q5 of 76 Page 2

Write the following relations as the sets of ordered pairs:

A relation R form a set A = {5, 6, 7, 8} to the set B = {10, 12, 15, 16, 18} defined by (x, y) R x divides y.

Given, (x, y) R x divides y


where x {5, 6, 7, 8} and y {10, 12, 15, 16, 18}


Here,


5 divides 10 and 15.


6 divides 12 and 18.


7 divides none of the value of set B.


8 divides 16.


∴ R = {(5, 10), (5, 15), (6, 12), (6, 18), (8, 16)}


More from this chapter

All 76 →
5

Write the following relations as the sets of ordered pairs:

A relation R on the set {1,2,3,4,5,6,7} defined by


(x, y) R x is relatively prime to y.

5

Write the following relations as the sets of ordered pairs:

A relation R on the set {0,1,2,…,10} defined by


2x + 3y = 12.

6

Let R be a relation in N defined by (x, y) R x + 2y = 8. Express R and R-1 as sets of ordered pairs.

7

Let A = {3, 5} and B = {7, 11}. Let R = {(a, b): a A, b B, a-b is odd}. Show that R is an empty relation from into B.

Questions · 76
2. Relations
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