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

Question

Philoid · Accepted 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.