Taking the set of natural numbers as the universal set, write down the 

complements of the following sets: 

(i) {x: x is an even natural number} 

(ii) {x: x is an odd natural number} 

(iii) {x: x is a positive multiple of 3} 

(iv) {x: x is a prime number} 

(v) {x: x is a natural number divisible by 3 and 5} 

(vi) {x: x is a perfect square} 

(vii) {x: x is perfect cube} 

(viii) {x: x + 5 = 8} 

(ix) {x: 2x + 5 = 9} 

(x) {x: x ≥ 7} 

(xi) {x: x N and 2x + 1 > 10} 

Write the following sets in roster form: 

(i) A = {x: x is an integer and –3 < x < 7}. 

(ii) B = {x: x is a natural number less than 6}. 

(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}

(iv) D = {x: x is a prime number which is divisor of 60}. 

(v) E = The set of all letters in the word TRIGONOMETRY.

(vi) F = The set of all letters in the word BETTER. 

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} 

List all the elements of the following sets: 

(i) A = {x: x is an odd natural number} 

(ii) B = {x: x is an -1/2<x<9/2 integer,} 

(iii) C = {x: x is an  x² <= 4 integer, }

(iv) D = {x: x is a letter in the word “LOYAL”} 

(v) E = {x: x is a month of a year not having 31 days} 

(vi) F = {x: x is a consonant in the English alphabet which proceeds k}.  

          ={b,c,d,f.g.h.j}

Match each of the set on the left in the roster form with the same set on the right described in set-builder form: 

(I) {1, 2, 3, 6}                                             (A) {X: X IS A PRIME NUMBER AND A DIVISOR OF 6} 

(II) {2, 3}                                                    (B) {X: X IS AN ODD NATURAL NUMBER LESS THAN 10} 

(III) {M, A,T, H, E, I,C, S}                           (C) {X: X IS NATURAL NUMBER AND DIVISOR OF 6} 

(IV) {1, 3, 5, 7, 9}                                       (D) {X: X IS A LETTER OF THE WORD MATHEMATICS}

Which of the following are examples of the null set 

(i) Set of odd natural numbers divisible by 2 

(ii) Set of even prime numbers 

(iii) {x:x is a natural numbers, x < 5 and x > 7 } 

(iv) {y:y is a point common to any two parallel lines}