Ex 1.2, 1 - Which are examples of null set (i) Set of odd - Null Set

  1. Chapter 1 Class 11 Sets
  2. Serial order wise
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Ex 1.2 , 1 Which of the following are examples of the null set (i) Set of odd natural numbers divisible by 2 Natural numbers = 1,2,3,4,5,6,….. Odd natural numbers = 1,3,5,7,9,… No odd number is divisible by 2, therefore no elements in this set. ∴ It is a null set. Ex 1.2 , 1 Which of the following are examples of the null set (ii) Set of even prime numbers Prime numbers = 2,3,5,7,11,13,17,…. Here, 2 is even. So, 2 is an even prime number. The set is not empty. ∴ It is not a null set Ex 1.2 , 1 Which of the following are examples of the null set (iii) {x: x is a natural numbers, x < 5 and x > 7 } Natural numbers = 1,2,3,4,5,6,… Natural numbers less than 5 (x < 5) = 1,2,3,4 Natural numbers greater than 7 (x > 7) = 8,9,10,11,…. A number cannot be simultaneously less than 5 and greater than 7. Therefore no elements in this set. ∴ It is a null set Ex 1.2 , 1 Which of the following are examples of the null set (iv) {y: y is a point common to any two parallel lines} Parallel lines do not intersect. Hence, they have no common point. Therefore no elements in this set. ∴ It is a null set

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