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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 R4 = {(4, 2), (2, 6), (5, 1), (2, 4)} - 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

R4 = {(4, 2), (2, 6), (5, 1), (2, 4)}

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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)}

R4 = {(4, 2), (2, 6), (5, 1), (2, 4)}

Since, (4, 2) ∈ R4, but (4, 2) ∉ A × B

∴ R4 ⊄ A × B

∴ R4 is not a relation from A to B.

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अध्याय 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
अध्याय 5 Sets and Relations
Miscellaneous Exercise 5.2 | Q II. (6) (iv) | पृष्ठ १०५

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