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Answer the following: If A = {1, 2, 3}, B = {4, 5, 6} check if the following are relations from A to B. Also write its domain and range R1 = {(1, 4), (1, 5), (1, 6)} - Mathematics and Statistics

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Question

Answer the following:

If A = {1, 2, 3}, B = {4, 5, 6} check if the following are relations from A to B. Also write its domain and range

R1 = {(1, 4), (1, 5), (1, 6)}

Sum
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Solution

A = {1, 2, 3}, B = {4, 5, 6}

∴ A × B = {(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6)}

R1 = {(1, 4), (1, 5), (1, 6)}

Since all the elements of R1 are in A × B,

R1 ⊆ A × B

∴ R1 is the relation from A to B.

Domain of R1 = {1}

Range of R1 = {4, 5, 6}

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Chapter 5: Sets and Relations - Miscellaneous Exercise 5.2 [Page 105]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 5 Sets and Relations
Miscellaneous Exercise 5.2 | Q II. (6) (i) | Page 105

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