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2. Relations
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Q17 of 76 Page 2

Write the relation R = {(x, x3): x is a prime number less than 10} in roster form.

Given,


R = {(x, x3): x is a prime number less than 10}


Prime numbers less than 10 are 2, 3, 5 and 7


∴ R = {(2, 23), (3, 33), (5, 53), (7, 73)}


⇒ R = {(2, 8), (3, 27), (5, 125), (7, 343)}


So,


Domain of relation R = {2, 3, 5, 7}


Range of relation R = {8, 27, 125, 343}


More from this chapter

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15

Define a relation R on the set N of natural numbers by R = {(x, y): y = x + 5, x is a natural less than 4, x, y N}.Depict this relationship using (i) roster form an arrow diagram. Write down the domain and range of R.

16

A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd, x A, y B}. Write R in Roster form.

18

Let A= {1, 2, 3, 4, 5, 6}. Let R be a relation on A defined by

R= {(a, b): a, b A, b is exactly divisible by a}


i. Write R in roster form


ii. Find the domain of R


iii. Find the range of R.

19

Figure 2.15 shows a relationship between the sets P and Q. Write this relation in

a. Set builder form


b. Roster form


c. What is its domain and range?


Questions · 76
2. Relations
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