Below would be an example of an empty set?

Question

so in determining whether the following is an empty set:

{x<2 and x> 5} this would be an empty set because there is no one number that is less than 2 and greater than 5 because no such number exists at the same time

Answer 1

Yes, the set of all x such that x&lt;2 and x&gt;5 is an empty set.