Write the following relation in the Roster form and hence find its domain and range $R = {(a, a^{2}) / a$ is a prime number less than $15}$

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Solution

Prime numbers less than 15: 2, 3, 5, 7, 11, 13
Therfore $R = {(2, 4), (3, 9), (5, 25), (7, 49), (11, 121), (13, 169)}$
Domain: ${2, 3, 5, 7, 11, 13}$
Range: ${4, 9, 25, 49, 121, 169}$

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