
Answer:
C) Solution set of{x|X<-3} n {xl x> 5) is an the empty set.
Step-by-step explanation:
Here, the solution set is given as : set of {x| x < -3 } ∩ {x l x > 5)
Now, defining the each set , we get
{x| x < -3 } = ( .... -6,-5,-4 ,-3) = P
and the SET {x l x > 5} = (5,6,7,........ ) = Q
Now, by taking the intersection of two sets,we get
P ∩ Q = NULL SET as they don not have any element in common.
⇒ {x| x < -3 } ∩ {x l x > 5} is an empty set
Hence, solution set of{x|X<-3} n {xl x> 5) is an the empty set.