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Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:

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2 months ago Anand Kumar Pandey
1412 Points
```							Wlcome to AskIITiansYour question is incompleteit should be like this:Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:(i) n ∈ X but 2n ∉ X(ii) n + 5 = 8(iii) n is greater than 4Assuming it to be same , the solution is as follows;i) For X = {1, 2, 3, 4, 5, 6}, it is given that n ∈ X, but 2n ∉ X.Let, A = {x | x ∈ X and 2x ∉ X}Now, 1 ∉ A as 2.1 = 2 ∈ X2 ∉ A as 2.2 = 4 ∈ X3 ∉ A as 2.3 = 6 ∈ XBut 4 ∈ A as 2.4 = 8 ∉ X5 ∈ A as 2.5 = 10 ∉ X6 ∈ A as 2.6 = 12 ∉ XTherefore, A = {4, 5, 6}(ii) Let B = {x | x ∈ X and x + 5 = 8}Here, B = {3} as x = 3 ∈ X and 3 + 5 = 8 and there is no other element belonging to X such that x + 5 = 8.(iii) Let C = {x | x ∈ X, x > 4}Therefore, C = {5, 6}Thanks
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2 months ago
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