Question

What is the solution set ofx n {xl x> 5)?

all numbers except -3 and 5
the numbers between -3 and 5
the empty set
all real numbers

Answer 1

C) Solution set ofx n {xl x> 5) is an the empty set.

Explanation:

Here, the solution set is given as : set of x < -3 ∩ {x l x > 5)

Now, defining the each set , we get

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 < -3 ∩ {x l x > 5} is an empty set

Hence, solution set ofx n {xl x> 5) is an the empty set.