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Ex 1.1, 6 - Match roster form to set-builder form - Sets - Depicition of sets - Set builder form

  1. Chapter 1 Class 11 Sets
  2. Serial order wise
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Ex 1.1,6 Match each of the set on the left in the roster form with the same set on the right described in set-builder form: (i) {1, 2, 3, 6} (a) {x : x is a prime number and a divisor of 6} (ii) {2, 3} (b) {x : x is an odd natural number less than 10} (iii) {M,A,T,H,E,I,C,S} (c) {x : x is natural number and divisor of 6} (iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}. {x : x is a prime number and a divisor of 6} 6 = 6 × 1 6 = 3 × 2 1,2,3,6 are divisors of 6 , out of which 2,3 are prime So, (ii) matches (a) (i) {1, 2, 3, 6} (a) {x : x is a prime number and a divisor of 6} (ii) {2, 3} (b) {x : x is an odd natural number less than 10} (iii) {M,A,T,H,E,I,C,S} (c) {x : x is natural number and divisor of 6} (iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}. {x : x is an odd natural number less than 10} Natural numbers are 1,2,3,4,5,6,7,8,… Odd Natural numbers are 1,3,5,7,9,11,13 Odd natural numbers less than 10 are 1,3,5,7,9 Hence (iv) matches (b) {x : x is a natural number and a divisor of 6} 6 = 6 × 1 6 = 3 × 2 1,2,3,6 are divisors of 6 , So, (i) matches (c) {x : x is a letter of the word MATHEMATICS}. There are 8 letters of the word MATHEMATICS and 3 letters M,A and T are repeated, So (iii) matches (d).

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