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}

(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=n2,n≤10, n ϵ N}


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


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


2