Match the roster form with set builder form. (i) { 1 , 2 , 3 , 6 } (a) { x : x is prime number and a divisor of 6 } (ii) 2 , 3 (b) { x : x is an odd natural number smaller than 10 } (iii) { m , a , t , h , e , i , c , s } (c) { x : x is a natural number an ddivisor of 6 } (iv) { 1 , 3 , 5 , 7 , 9 } (d) { x : x is a letter of the word MATHEMATICS }

Let us consider the set builder forms. (a) { x : x is prime number and a divisor of 6 } ⇒ Prime factorization of 6 = 2 × 3 . where 2 and 3 are prime numbers. ∴ Roster form = { 2 , 3 } . (b) { x : x is an odd natural number smaller than 10 } Odd natural numbers smaller than 10 = 1 , 3 , 5 , 7 , 9 ∴ Roster form = { 1 , 3 , 5 , 7 , 9 } . . (c) { x : x is a natural number and divisor of 6 } ⇒ Factors of 6 are 1 , 2 , 3 and 6 . ∴ Roster form = { 1 , 2 , 3 , 6 } . (d) { x : x is a letter of the word MATHEMATICS } The word MATHEMATICS has the letters: M , A , T , H , E , M , A , T , I , C , S . Here, we see that the letters M , A and T are appearing more than once in the word. We know that while writing a set in roster form, repetition of the elements is not allowed. Writing an element once is sufficient. Therefore, the set in roster form can be written as: Roster form = { M , A , T , H , E , I , C , S } . Therefore, after matching the roster form with the set builder form, the table looks like the following: (i) { 1 , 2 , 3 , 6 } (a) { x : x is a natural number an ddivisor of 6 } (ii) 2 , 3 (b) { x : x is prime number and a divisor of 6 } (iii) { m , a , t , h , e , i , c , s } (c) { x : x is a letter of the word MATHEMATICS } (iv) { 1 , 3 , 5 , 7 , 9 } (d) { x : x is an odd natural number smaller than 10 }

E M B I B E

Mathematics Class 10>Chapter 2 - Sets>Exercise>Q 6

EASY

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IMPORTANT

Earn 100

Write the following set in the set-builder form.

${3, 6, 9, 12}$

Important Questions on Sets

EASY

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IMPORTANT

Mathematics Class 10>Chapter 2 - Sets>Exercise>Q 6

Write the following sets in the set-builder form.

{2, 4, 8, 16, 32}

MEDIUM

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IMPORTANT

Mathematics Class 10>Chapter 2 - Sets>Exercise>Q 6

Write the following sets in the set-builder form.

${5, 25, 125, 625}$

MEDIUM

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IMPORTANT

Mathematics Class 10>Chapter 2 - Sets>Exercise>Q 6

Write the following set in the set-builder form.

${1, 4, 9, 16, 25, \dots . . 100}$

MEDIUM

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IMPORTANT

Mathematics Class 10>Chapter 2 - Sets>Exercise>Q 7

Write the following set in roster form.

$A = {x : x$ is a natural number greater than $50$ but smaller than $100} .$

MEDIUM

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IMPORTANT

Mathematics Class 10>Chapter 2 - Sets>Exercise>Q 7

Write the following set in roster form.

B = {x : x

is an integer,

x^{2} = 4}

.

MEDIUM

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IMPORTANT

Mathematics Class 10>Chapter 2 - Sets>Exercise>Q 7

Write the following sets in roster form.

$D = {x : x$ is a letter in the word $" L O Y A L "}$ .

HARD

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IMPORTANT

Mathematics Class 10>Chapter 2 - Sets>Exercise>Q 8

Match the roster form with set builder form.

(i)	${1, 2, 3, 6}$	(a)	${x : x is prime number and a divisor of 6}$
(ii)	$\{2, 3\}$	(b)	${x : x is an odd natural number smaller than 10}$
(iii)	${m, a, t, h, e, i, c, s}$	(c)	${x : x is a natural number an ddivisor of 6}$
(iv)	${1, 3, 5, 7, 9}$	(d)	${x : x is a letter of the word MATHEMATICS}$