1.

Which of the following are examples of the null set? E = {x : x ϵ W, x + 3 ≤ 3}.

Answer»

Whole numbers = 0, 1, 2, 3, … 

If we take x = 0 then x + 3 = 0 + 3 = 3 

If we take x = 1 then x + 3 = 1 + 3 = 4 > 3 

So, 0 is the element of set E because it satisfies the given equation. 

∴ It is not a null set.



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