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2. Relations and Functions
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Q7 of 41 Page 35

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}

As we know the prime number less than 10 are 2, 3, 5 and 7.


Hence the relation in roaster form, R = {(2,8), (3,9), (5,125), (7,343)}


More from this chapter

All 41 →
5

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

{(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.

6

Determine the domain and range of the relation R defined by

R = {(x, x + 5) : x ∈ {0, 1, 2, 3, 4, 5}}.

8

Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.

9

Let R be the relation on Z defined by R = {(a, b): a, b ∈ Z, a – b is an integer}. Find the domain and range of R.

Questions · 41
2. Relations and Functions
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