Write the following sets in the set-builder form (i) {3, 6, 9, 12} (

1.	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} (vi) {1, 4, 9, 16,…}(vii) 1/2, 2/3, 3/4, 4/5, 5/6, 6/7
Answer» The given sets in set – builder form are (i) {x : x = 3n, n ∈ N,n < 5} (ii) {x : x = 2n,n ∈ N,n < 6} (iii) {x : x = 5n,n ∈ N, n < 5} (iv) {x : x is an even natural number} (v) {x : x = n²,n ∈ N,n ≤ 10} (vi) {x : x = n²,n ∈ N} (vii) {x : x = n/(n + 1), n ∈ N, n < 7}

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} (vi) {1, 4, 9, 16,…}(vii) 1/2, 2/3, 3/4, 4/5, 5/6, 6/7

Answer»

The given sets in set – builder form are

(i) {x : x = 3n, n ∈ N,n < 5}

(ii) {x : x = 2n,n ∈ N,n < 6}

(iii) {x : x = 5n,n ∈ N, n < 5}

(iv) {x : x is an even natural number}

(v) {x : x = n²,n ∈ N,n ≤ 10} (vi) {x : x = n²,n ∈ N}

(vii) {x : x = n/(n + 1), n ∈ N, n < 7}