What is the solution set of {x | x < -3} ∩ {x | x > 5}?
2 answers:
The answer will be empty set
<h2>
Answer:</h2>
The solution set of {x | x < -3} ∩ {x | x > 5} is:
The empty set
<h2>
Step-by-step explanation:</h2>
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
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