Q. 23.9( 27 Votes )

# Describe the following sets in set-builder form:

(i) A = {1,2,3,4,5,6}

(ii) B={1, 1/2 , 1/3, 1/4, 1/5,…..}

(iii) C={0,3,6,9,12,….}

(iv) D={10,11,12,13,14,15}

(v) E={0}

(vi) {1,4,9,16,…,100}

(vii) {2,4,6,8,….}

(viii) {5,25,125,625}

Answer :

(i) {x:x ϵ N,x<7}

This is read as x is such that x belongs to natural number and x is less than 7. It satisfies all condition of roster form.

(ii) {x ϵ z: x=1/n+1,n ϵ W}

This is read as x is such that x is an integer greater than or equal to 0. And it’s value is 1/x+1.

(iii) {x N: x = 3n, n W}

(iv) {x:x ϵ N,9<x<16}

(v) {x:x=0}

(vi) {x ϵ N: x=n^{2},n≤10, n ϵ N}

(vii) {x N: x = 2n, n N}

(viii) {x N: x = 5^{n},0<n<6 N}

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