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Write the relation in the Roster Form. State its domain and range R1 = {(a, a2)/a is prime number less than 15}

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Question

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

R1 = {(a, a2)/a is prime number less than 15}

Sum
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Solution

R1 = {(a, a2)/a is prime number less than 15}

∴ a = 2, 3, 5, 7, 11, 13

∴ a2 = 4, 9, 25, 49, 121, 169

∴ R1 = {(2, 4), (3, 9), (5, 25), (7, 49), (11, 121), (13, 169)}

∴ Domain (R1)

= {a/a is a prime number less than 15}

= {2, 3, 5, 7, 11, 13}

Range (R1)

= {a2/a is a prime number less than 15}

= {4, 9, 25, 49, 121, 169}

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Chapter 5: Sets and Relations - Exercise 5.2 [Page 103]

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