﻿ Exercise 1

# CHAPTER 1 : Sets

## Exercise 1.1

1. The collection of all the months of a year beginning with the letter J.
3. The collection of ten most talented writers of India.
5. A team of eleven best-cricket batsmen of the world.
7. The collection of all boys in your class.
9. The collection of all natural numbers less than 100.
11. A collection of novels written by the writer Munshi Prem Chand.
13. The collection of all even integers.
15. The collection of questions in this Chapter.
17. A collection of most dangerous animals of the world.
2. Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank spaces:
1. 5 …… A
2. 8 …… A
3. 0 …… A
4. 4 …… A
5. 2 …… A
6. 10 …… A
3. Write the following sets in roster form:
1. A = {x: x is an integer and –3 ≤ x < 7}
2. B = {x: x is a natural number less than 6}
3. C = {x: x is a two-digit natural number such that the sum of its digits is 8}
4. D = {x: x is a prime number which is divisor of 60}
5. E = The set of all letters in the word TRIGONOMETRY
6. F = The set of all letters in the word BETTER
4. Write the following sets in the set-builder form:
1. {3, 6, 9, 12}
2. {2, 4, 8, 16, 32}
3. {5, 25, 125, 625}
4. {2, 4, 6, …}
5. {1,4,9, … 100}
5. List all the elements of the following sets:
1. A = {x : x is an odd natural number}
2. B = {x : x is an integer, −1⁄2 < x < 9⁄2;}
3. C = {x : x is an integer, x2 ≤ 4}
4. D = {x : x is a letter in the word “LOYAL”}
5. E = {x : x is a month of a year not having 31 days}
6. F = {x : x is a consonant in the English alphabet which precedes k}