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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 R2 = {(1, 5), (2, 4), (3, 6)} - Mathematics and Statistics

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प्रश्न

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

R2 = {(1, 5), (2, 4), (3, 6)}

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उत्तर

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)}

R2 = {(1, 5), (2, 4), (3, 6)}

Since R2 ⊆ A × B

∴ R2 is a relation from A to B.

Domain (R2) = Set of first components of R2

= {1, 2, 3}

Range (R2) = Set of second components of R2

= {4, 5, 6}

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पाठ 5: Sets and Relations - Miscellaneous Exercise 5.2 [पृष्ठ १०५]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
पाठ 5 Sets and Relations
Miscellaneous Exercise 5.2 | Q II. (6) (ii) | पृष्ठ १०५

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