Sarthaks Test
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Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by

(i) n + 1 

(ii) n2

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Given E = {2, 4, 6, 8, 10}

(i) Let A = {x | x = n + 1, n ∈ E}

Thus, for 2 ∈ E, x = 3

4 ∈ E, x = 5,

and so on. Therefore, A = {3, 5, 7, 9, 11}.

(ii) Let B = {x | x = n2, n ∈ E}

So, for 2 ∈ E, x = (2)2 = 4, 4 ∈ E, x = (4)2 = 16, 6 ∈ E, x = (6)2 = 36,

and so on. Hence, B = {4, 16, 36, 64, 100}

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