Which of the  following is not a null set? 

Which of the  following is not a null set?

 

  1. A

    Set of odd natural numbers divisible by 2

  2. B

    Set of even prime numbers 

  3. C

    χ : χ is a natural number, χ < 5 and χ >7 }

     

  4. D

    { y : y is a point common to any two parallel lines }

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    Solution:

     There is no odd natural number divisible by 2,  so there will be no element in this set, hence it is a null set.

    (b) There is only one even prime number which is 2i.e.,  there is a element, so it is not a null set 

    (c) There is no natural number which is less than 5 and greater than 7 i.e., there is no element, so it is a null set.

    (d) Since, parallel lines never intersect each other, so they have no common point i.e., no element, so it is a null set.

     

     

     

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