Question

Find, if the following sets are empty:

A = {x : x ∈ N and 5 < x < 6}

Answer 1

A = {x : x ∈ N and 5 < x < 6}

As 5 < x ≤ 6

∴ x = 6

∴ A = {6}

Hence given set A is not an empty set.