1.

Which of the following are examples of the null set? A = {x : x ϵ N, 1 < x ≤ 2}.

Answer»

Natural numbers = 1, 2, 3, 4, 5, 6, 7,…

Natural number greater than 1 (1 < x) = 2, 3, 4, 5, .. 

Natural number less than or equal to 2 (x ≥ 2) = 1 

A number cannot be simultaneously greater than 1 and less than equal to 2 

∴ no elements in this set 

∴ It is a null set.



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