1. Set theory Venn Diagrams { } φ ξ

2. State whether each one is a Set or not: (i)A collection of all people in India…………….. (ii) A collection of all fair complexioned people of India …………………………. (iii) A collection of all good story books in our library……………….. (iv) A collection of all tall boys in our class…………..…. (v) A collection of all boys who got above 80% in Mathematics in the Annual Examination………………. A Set Not a Set Not a Set Not a Set A Set

3. State whether the following sets are finite or infinite: (i) Set of natural numbers………………….…………..……. (ii) Set of all integers………….………………………...…….. (iii) Set of all days of the week………………………..…….. (iv) Set of all the students of our class …………………… (v) {c: c Z, c ≤ 2 } …………………………….……………. (vi) { y: y ≤ 4, y N }………………………………….…………. (vii) { d: d W, d ≤ -2 }………………………………..………… (viii) { x: x is a multiple of 4, x Z}……………..………… (ix) { y: y is a factor of 14, y N } …………........…………. (x) { h : h is a multiple of 5, h Z, -10 ≤ h ≤ 10}………. infinite finite finite finite finite finite finite

4. Express in the Roster form: (i) set of natural numbers less than 3 =…………………. (ii) set of whole numbers less than 0 =…………………… (iii) { x : x ≤ 6, x N } =………………………………. (iv) { h : h = 2p, p W, p < 4 } =………………….. 1, 2 2, 3, 4, 5, 6 {{}}φ 0, { } 6 8

5. Express in the Roster form: (i) Set of all consonants of the word “ ANGLE” (ii) Set of all letters of the word “ASSESS” (iii) Set of all vowels of the word “ GEOMETRY” (iv) Set of all planets of the Universe starting with the letter “M” ……………….. {} } } { { {mercury, mars} N, G L A, S S E S S, G, E, O M T R Y

6. Express in the Roster form: (i) { b: b N, 1 < b < 7 } = ….………………….. (ii) { c: c = 3n, n W, n ≤ 5 } = …..……………. (iii) { y : y N, 3 ≤ y < 7 } = …………………… (iv) { x : x is a factor of 24 } = ………………………. (v){ z : z is a composite number,12 < z < 20}=………………. {2, 3, 4, 5, 6 } { 0, 3, 6, 9, 12, 15 } { 3, 4, 5, 6 } { 1, 2, 3, 4, 6, 8, 12 } {14, 15, 16, 18}

7. Express in the Set Builder Form: (i) { a, e, i, o, u } =……………….………………………. (ii) { January, June, July } = ….…………………..….. (iii) { 0, 1, 2, 3, 4, 5, 6} =…………….………………….. (iv) { 2, 4, 6, 8, 10, 12, 14 } =……………..……………. (v) { -2, -1, 0, 1 } =……………….………………………. {x: x is a set of all vowels} { x: x is the name of a month starting with the letter “J”} {x : x W, x < 7 } { x : x = 2n, n N,n ≤ 7} { x : x Z, -3 < x < 2 }

8. State true or false: (i) {x : x W, x < 1} is an empty set …..……………… (ii) { x : x N, 34 < x < 35 } is an empty set……...... (iii) { φ } is an empty set ……………………………………. (iv) { 0 } is a NULL set………………………………………… (v) φ = { } …………………………………………………………. (vi) { x : x = 2n, x W, n < 3 } = { 2, 4 } ……………… (vii) { x: x N, x < 1 } = { }……….……….………………. (viii) { x: x is a factor of 18 } = { 2,3,6, 9} …………… (ix) { y: y is a factor of 15 } = {1, 3, 5, 15}……………... (x) {a, b, e} and {1, 2, 3} are equivalent sets…….…. False True False True

9. If A = { a,b,c,d,e,f} B = { a,c,d,f,g,h} Find : AB =………………. AB =……..................................... { {} } a, b, c, d, e, f a, b, c, d, f, e, g, hh,

10. A B The shaded portion is …………….. (Click to get the answer) A B

11. PQ The shaded portion is …………….. (Click to get the answer) P Q

12. A B (i) Which portion is A B = ……………. (ii) Which portion is A B = ……………. B A

13. P Q What is P Q = ………………….. Φ(Null Set)

14. 6 What is : (i) A B = 3 8 12 4 11 7 5 9 10 ξ 1 2 AB (ii) B = { 3,8,12} {5,6,10} {1,2} {4,7,9,11} {3,5,6,7,8,9,10,11,12} {5,6,8,10} Choose the correct option: A

15. a b c d e What is H P = …………………. H P {a, b} {a, b, c, d, e}

16. X Y Z 1 2 3 4 5 6 7 8 9 10 (i) X Y = ……………….............. (ii) X Y =...……………...........… (iii) Y Z =……..……............….… (iv) Y Z = ……………………….…. (v) X Z = ……………… (vi) X Z = ………………. { 1,2, 3,10} {1,2,3,4,5,6,7,8,9,10} { 3, 10 } { 1,2,3,6,7,8,10} {3, 6,7,8, 10} X