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Q9 of 76 Page 2

Determine the domain and range of the relation R defined by

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

Given,


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


∴ R = {(0, 0+5), (1, 1+5), (2, 2+5), (3, 3+5), (4, 4+5), (5, 5+5)}


⇒ R = {(0, 5), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}


So,


Domain of relation R = {0, 1, 2, 3, 4, 5}


Range of relation R = {5, 6, 7, 8, 9, 10}


More from this chapter

All 76 →
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.

8

Let A = {1, 2} and B={3, 4}. Find the total number of relations from A into B.

9

Determine the domain and range of the relation R defined by

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

10

Determine the domain and range of the following relations:

R= {a, b): a N, a < 5, b = 4}

Questions · 76
2. Relations
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