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Write the relation in the Roster Form. State its domain and range R4 = {(x, y)/y > x + 1, x = 1, 2 and y = 2, 4, 6}

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प्रश्न

Write the relation in the Roster Form. State its domain and range

R4 = {(x, y)/y > x + 1, x = 1, 2 and y = 2, 4, 6}

योग
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उत्तर

Let R4 = {(x, y)/y > x + 1, x = 1, 2 and y = 2, 4, 6}

Here y > x + 1, where x = 1, 2 and y = 2, 4, 6

When x = 1, 4 > 1 + 1, 6 > 1 + 1

∴ y = 4, y = 6

When x = 2, 4 > 2 + 1, 6 > 2 + 1

∴ y = 4, y = 6

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

Domain of R4 = set of first elements of ordered pairs of R4

= {1, 2}

Range of R4 = set of second elements of ordered pairs of R4

= {4, 6}

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अध्याय 5: Sets and Relations - Exercise 5.2 [पृष्ठ १०३]

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 5 Sets and Relations
Exercise 5.2 | Q 8. (iv) | पृष्ठ १०३

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