Which of the following are examples of the null set? F = {x : x ϵ Q, 1

Question

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

Philoid · Accepted Answer

Here, x ∈ Q

i.e. x is a rational number

We know that,

If a and b are two rational numbers, then is a rational number between a and b such that

So, the rational number 1 and 2 is

∴ the set is not empty

∴ It is not a null set.