What is the solution set of {x | x < -5} ∩ {x | x > 5}?

Solution:

The intersection of two given sets is the set that contains all the elements that are common to both sets.

The symbol for the intersection of sets is "∩''.

For any two sets A and B, the intersection, A ∩ B (read as A intersection B) lists all the elements that are present in both sets, the common elements of A and B.

As per the condition given in the question {x | x < -5} ∩ {x | x > 5}

This symbol "∩" means intersection of both sets or what do both sets contain that are the same.

First set contains all numbers less than -5 and the other set contains all numbers greater than 5 so the sets don't overlap at all.

So, the solution set is empty ∅.

Therefore, the solution set of {x | x < -5} ∩ {x | x > 5} is empty ∅.

What is the solution set of {x | x < -5} ∩ {x | x > 5}?

Summary:

The solution set of {x | x < -5} ∩ {x | x > 5} is empty ∅.