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2. Relations
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Q10 of 76 Page 2

Determine the domain and range of the following relations:

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

Given,


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


Natural numbers less than 5 are 1, 2, 3 and 4


Therefore, a {1, 2, 3, 4} and b {4}


⇒ R = {(1, 4), (2, 4), (3, 4), (4, 4)}


So,


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


Range of relation R = {4}


More from this chapter

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9

Determine the domain and range of the relation R defined by

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

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:

S= {a, b): b = |a-1|, a Z and |a| ≤ 3}

11

Let A = {a, b}. List all relations on A and find their number.

Questions · 76
2. Relations
1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 6 7 1 2 3 4 5 5 5 5 6 7 8 9 9 10 10 11 12 13 14 15 16 17 18 19 20 21 22 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 13
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