Is A = x : x N , 1< x 2 null set? - Vidyadip

Question

Is $A =\{ x : x \in N , 1< x \leq 2\}$ null set?

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Answer

We know that,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 $2(x \leq 2)=2$
$\Rightarrow$ one element in this set
$\therefore$ It is not a null set.

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