Class XI Chapter 1 – Sets Maths ______________________________________________________________________________ (ix) The collection of most dangerous animals of the world is not a well-defined collection because the criteria for determining the dangerousness of an animal can vary from person to person. Hence, this collection is not a set. Question 2: Let A 1, 2,3, 4,5,6 . Insert the appropriate symbol or in the blank spaces: (i) 5…A (ii) 8…A (iii) 0…A (iv) 4…A (v) 2…A (vi) 10…A Solution 2: (i) 5 A (ii) 8 A (iii) 0 A (iv) 4 A (v) 2 A (vi) 10 A Question 3: Write the following sets in roster form: (i) A (ii) (iii) (iv) x : x is an integer and 3 x 7 B C D x : xis a natural number less than 6 . x : xis a two-digit natural number such that sum of its digitsis8 . x : xis a prime number which is divisor of 60 . (v) E = The set of all letters in the world TRIGONOMETRY (vi) F = The set of all letters in the word BETTER. Solution 3: (i) A x : xis an integer and 3 x 7 The elements of this set are 2, 1,0,1, 2,3, 4,5 and 6 only. Therefore, the given set can be written in roster form as (ii) B x : xis a natural number less than 6 The elements of this set are 1, 2, 3, 4 and 5 only. Therefore, the given set can be written in roster form as B = {1, 2, 3, 4, 5} . . A 2, 1,0,1, 2,3, 4,5,6 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 1 – Sets Maths ______________________________________________________________________________ (iii) C x : xis a two-digit natural number such that thesum of its digitsis 8 The elements of this set are 17, 26, 35, 44, 53, 62, 71 and 80 only. Therefore, this set can be written in roster form as (iv) D 2 60 2 30 3 15 5 60 2 23 5 C x : xis a prime number which is a divisor of 60 The elements of this set are 2, 3 and 5 only. Therefore, this set can be written in roster form as D 17, 26,35, 44,53,62,71,80 2,3,5 (v) E = The set of all letters in the word TRIGONOMETRY There are 12 letters in the word TRIGONOMETRY, out of which letters T, R and O are repeated Therefore, this set can be written in roster form as E = {T, R, I, G, O, N, M, E, Y} (vi) F = The set of all letters in the word BETTER There are 6 letters in the word BETTER, out of which letters E and T are repeated. Therefore, this set can be written in roster form as F B, E, T , R . . . Question 4: Write the following sets in the set-builder form: (i) (3, 6, 9, 12) (ii) {2, 4, 8, 16, 32} (iii) {5, 25, 125, 625} (iv) {2, 4, 6 …} (v) {1, 4, 9 … 100} Solution 4: x : x 3 n, n N and 1 n 4 (i) {3, 6, 9, 12} = (ii) 2, 4,8,16,32 It can be seen that 1 2 3 4 5 2 2 ,4 2 ,8 2 ,16 2 ,and32 2 2,4,8,16,32 x : x 2 n , n N and1 n 5 (iii) 5, 25,125,625 It can be seen that 1 2 3 4 5 5 ,25 5 ,125 5 ,and625 5 5,25,125,625 x : x 5 n , n N and1 n 4 . . Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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