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NCERT Class XI Mathematics - Sets - Solutions
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Question : 4 of 73
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Write the following sets in the set-builder form: (i) {3, 6, 9, 12} (ii) {2, 4, 8, 16, 32} (iii) {5, 25, 125, 625} (iv) {2, 4, 6, ...} (v) {1, 4, 9, ..., 100}
Solution:
(i) Let A = {3, 6, 9, 12} All elements of the set are natural numbers that are multiples of 3. ∴ A = {x : x = 3n, n ∈ N and 1 ≤ n ≤ 4} (ii) Let B = {2, 4, 8, 16, 32} = {} ∴ B = {x : x = , n ∈ N and 1 ≤ n ≤ 5} (iii) Let C = {5, 25, 125, 625} = {} ∴ C = {x : x = 5n, n ∈ N and 1 ≤ n ≤ 4} (iv) Let D = {2, 4, 6, .......} All elements of the set are even natural numbers. ∴ D = {x: x is an even natural number} (v) Let E = {1, 4, 9, .........., 100} All elements of the set are perfect squares. ∴ E = {x: x = , n ∈ N and 1 ≤ n ≤ 10}
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