Chapter 1 Sets Practice Set 1.1

**Question 1.Write the following sets in roster form.i. Set of even natural numbersii. Set of even prime numbers from 1 to 50iii. Set of negative integersiv. Seven basic sounds of a sargam (sur)Answer:**

i. A = { 2, 4, 6, 8,….}

ii. 2 is the only even prime number

∴ B = { 2 }

iii. C = {-1, -2, -3,….}

iv. D = {sa, re, ga, ma, pa, dha, ni}

**Question 2.Write the following symbolic statements in words.i. 4/3 ∈ Qii. -2 ∉ Niii. P = {p | p is an odd number}Answer:**

i. 4/3 is an element of set Q.

ii. -2 is not an element of set N.

iii. Set P is a set of all p’s such that p is an odd number.

**Question 3.Write any two sets by listing method and by rule method.Answer:**i. A is a set of even natural numbers less than 10.

Listing method: A = {2, 4, 6, 8}

Rule method: A = {x | x = 2n, n e N, n < 5}

ii. B is a set of letters of the word ‘SCIENCE’. Listing method : B = {S, C, I, E, N}

Rule method: B = {x \ x is a letter of the word ‘SCIENCE’}

**Question 4.Write the following sets using listing method.i. All months in the Indian solar year.ii. Letters in the word ‘COMPLEMENT’.iii. Set of human sensory organs.iv. Set of prime numbers from 1 to 20.v. Names of continents of the world.Answer:**i. A = {Chaitra, Vaishakh, Jyestha, Aashadha, Shravana, Bhadrapada, Ashwina, Kartika, Margashirsha, Paush, Magha, Falguna}

ii. X = {C, O, M, P, L, E, N, T}

iii. Y = {Nose, Ears, Eyes, Tongue, Skin}

iv. Z = {2, 3, 5, 7, 11, 13, 17, 19}

v. E = {Asia, Africa, Europe, Australia, Antarctica, South America, North America}

**Question 5.Write the following sets using rule method.i. A = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}ii. B= {6, 12, 18,24, 30,36,42,48}iii. C = {S, M, I, L, E}iv. D = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}v. X = {a, e, t}Answer:**

i. A = {x | v = n², n e N, n < 10}

ii. B = {x j x = 6n, n e N, n < 9}

iii. C = {y j y is a letter of the word ‘SMILE’} [Other possible words: ‘SLIME’, ‘MILES’, ‘MISSILE’ etc.]

iv. D = {z | z is a day of the week}

v. X = {y | y is a letter of the word ‘eat’}

[Other possible words: ‘tea’ or ‘ate’]

**Question 1.Fill in the blanks given in the following table. (Textbook pg. no. 3)Answer:**