Question

What is the solution set of {x | x < -3} ∩ {x | x > 5}?

Answer 1

The answer will be empty set

Answer 2

Answer:

The solution set of {x | x < -3} ∩ {x | x > 5} is:

           The empty set

Step-by-step explanation:

The first set is:

     {x | x < -3}

This means that the solution of this set is:  (-∞,-3)

and the second set is:

     {x | x > 5}

This means that the solution set is:  (5,∞)

Now, we know that intersection set contains the element that are common to both the set, i.e. it is a solution of first as well as second place.

Since, (-∞,-3)∩(5,∞)=∅

There no element which is common to both the set.

        Hence, the answer is:

             The empty set