What is the solution set of{x|X<-3} n {xl x> 5)?all numbers except -3 and 5the numbers between -3 and 5the empty setall real numbers

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)  = Pand the SET  {x l x > 5} = (5,6,7,........ )  = QNow, by taking the intersection of two sets,we getP ∩ Q = NULL SET as they don not have any element in common.⇒ {x| x < -3 } ∩   {x l x > 5} is an empty setHence, solution set of{x|X<-3} n {xl x> 5) is an the empty set.