List all the elements of the following sets : D = x : x = n 2 n - 1 , 2 ⩽ n ⩽ 6 , n ∈ N

Given, D = x : x = n 2 n - 1 , 2 ⩽ n ⩽ 6 , n ∈ N We know that, the method in which all the members of a set are listed, separated by commas and enclosed in curly brackets , is known as roster method. The given relation is x = n 2 n - 1 , When n = 2 x = 2 2 2 - 1 = 2 4 - 1 = 2 3 ; When n = 3 x = 3 2 3 - 1 = 3 6 - 1 = 3 5 ; When n = 4 x = 4 2 4 - 1 = 4 8 - 1 = 4 7 ; When n = 5 x = 5 2 5 - 1 = 5 10 - 1 = 5 9 ; When n = 6 x = 6 2 6 - 1 = 6 12 - 1 = 6 11 ; Hence, required answer is B = 2 3 , 3 5 4 7 , 5 9 , 6 11 .

Express each of the following sets in set-builder form: 1 4 , 2 7 , 3 10 , 4 13 , 5 16

In set builder method the elements of the set are indicated by describing their common characteristics which an object may possess in order to be an element of the set. Example: If A be the set of all odd integers, then A = x : x is an odd integer In the given question, the given set A = 1 4 , 2 7 , 3 10 , 4 13 , 5 16 thus A = x : x = n 3 n + 1 , n ∈ N , 1 ⩽ n ⩽ 5

Express each of the following sets in set-builder form: 2 5 , 3 10 , 4 17 , 5 26 , 6 37

In set builder method the elements of the set are indicated by describing their common characteristics which an object may possess in order to be an element of the set. Example: If A be the set of all odd integers, then A = x : x is an odd integer In the given question, the given set A = 2 5 , 3 10 , 4 17 , 5 26 , 6 37 thus A = x : x = n n 2 + 1 , n ∈ N , 2 ⩽ n ⩽ 6

Match each of the set in roster form with the same set described in set builder form: Roster Form Set-builder form i 1 , 2 , 4 , 8 a x : x is a prime number and a divisor of 30 i i 2 , 3 , 5 b x : x is a root of the equation x 2 - 4 = 0 i i i M,A,T,H,E,I,C,S c x : x is a natural number and divisor of 8 i v 2 , 4 , 6 , 8 , 10 d x : x is a letter of the word MATHEMATICS v - 2 , 2 e x : x is an even natural number less than 11

i - c , i i - a , i i i - d , i v - e , v - b

i - c , i i - a , i i i - d , i v - b , v - e

i - a , i i - c , i i i - d , i v - e , v - b

i - b , i i - a , i i i - d , i v - e , v - c

Match each of the set in roster form with the same set described in set builder form: Roster Form Set-builder form i P,R,I,N,C,A,L a x : x is a positive integer and is a divisor of 18 i i 0 b x : x is an integer and x 2 - 49 = 0 i i i 1 , 2 , 3 , 6 , 9 , 18 c x : x is an integer and x + 2 = 2 i v 7 , - 7 d x : x is a letter of the word PRINCIPAL

i - d , i i - c , i i i - a , i v - b

i - b , i i - c , i i i - a , i v - d

i - d , i i - c , i i i - b , i v - a

i - d , i i - a , i i i - c , i v - b

Express each of the following sets in set-builder form: 3 5 , 4 10 , 5 17 , 6 26 , 7 37 , 8 50 , 9 65

In set builder method the elements of the set are indicated by describing their common characteristics which an object may possess in order to be an element of the set. Example: If A be the set of all odd integers, then A = x : x is an odd integer In the given question, the given set A = 3 5 , 4 10 , 5 17 , 6 26 , 7 37 , 8 50 , 9 65 thus A = x : x = n + 1 n 2 + 1 , n ∈ N , 2 ⩽ n ⩽ 8

E M B I B E

I.S.C MATHEMATICS FOR CLASS XI>Chapter 1 - Sets>EXERCISE-1(I)

SURANJAN SAHA and SABITA SAHA Solutions for Chapter: Sets, Exercise 1: EXERCISE-1(I)

Author:SURANJAN SAHA & SABITA SAHA

SURANJAN SAHA Mathematics Solutions for Exercise - SURANJAN SAHA and SABITA SAHA Solutions for Chapter: Sets, Exercise 1: EXERCISE-1(I)

Attempt the free practice questions on Chapter 1: Sets, Exercise 1: EXERCISE-1(I) with hints and solutions to strengthen your understanding. I.S.C MATHEMATICS FOR CLASS XI solutions are prepared by Experienced Embibe Experts.

Questions from SURANJAN SAHA and SABITA SAHA Solutions for Chapter: Sets, Exercise 1: EXERCISE-1(I) with Hints & Solutions

EASY

11th ICSE

IMPORTANT

I.S.C MATHEMATICS FOR CLASS XI>Chapter 1 - Sets>EXERCISE-1(I)>Q 8

List all the elements of the following sets :

$D = \{x : x = \frac{n}{2 n - 1}, 2 ⩽ n ⩽ 6, n \in N\}$

EASY

11th ICSE

IMPORTANT

I.S.C MATHEMATICS FOR CLASS XI>Chapter 1 - Sets>EXERCISE-1(I)>Q 9

Express each of the following sets in set-builder form:

$\{\frac{1}{4}, \frac{2}{7}, \frac{3}{10}, \frac{4}{13}, \frac{5}{16}\}$

EASY

11th ICSE

IMPORTANT

I.S.C MATHEMATICS FOR CLASS XI>Chapter 1 - Sets>EXERCISE-1(I)>Q 9

Express each of the following sets in set-builder form:

$\{\frac{2}{5}, \frac{3}{10}, \frac{4}{17}, \frac{5}{26}, \frac{6}{37}\}$

MEDIUM

11th ICSE

IMPORTANT

I.S.C MATHEMATICS FOR CLASS XI>Chapter 1 - Sets>EXERCISE-1(I)>Q 10

Match each of the set in roster form with the same set described in set builder form:

	Roster Form		Set-builder form
$(i)$	$\{1, 2, 4, 8\}$	$(a)$	$\{x : x is a prime number and a divisor of 30\}$
$(i i)$	$\{2, 3, 5\}$	$(b)$	$\{x : x is a root of the equation x^{2} - 4 = 0\}$
$(i i i)$	$\{M,A,T,H,E,I,C,S\}$	$(c)$	$\{x : x is a natural number and divisor of 8\}$
$(i v)$	$\{2, 4, 6, 8, 10\}$	$(d)$	$\{x : x is a letter of the word MATHEMATICS\}$
$(v)$	$\{- 2, 2\}$	$(e)$	$\{x : x is an even natural number less than 11\}$

MEDIUM

11th ICSE

IMPORTANT

I.S.C MATHEMATICS FOR CLASS XI>Chapter 1 - Sets>EXERCISE-1(I)>Q 10

Match each of the set in roster form with the same set described in set builder form:

	Roster Form		Set-builder form
$(i)$	$\{P,R,I,N,C,A,L\}$	$(a)$	$\{x : x is a positive integer and is a divisor of 18\}$
$(i i)$	$\{0\}$	$(b)$	$\{x : x is an integer and x^{2} - 49 = 0\}$
$(i i i)$	$\{1, 2, 3, 6, 9, 18\}$	$(c)$	$\{x : x is an integer and x + 2 = 2\}$
$(i v)$	$\{7, - 7\}$	$(d)$	$\{x : x is a letter of the word PRINCIPAL\}$