Question

{x:x is a natural number,x < 5 and x > 7}
is this set empty, and why this set is empty ?

Answer 1

A = {x:x belongs to natural numbers, x<5 &x>7}

Natural numbers are 1, 2, 3,.....

But there are no natural numbers that are less than 5 but greater than 7.

So the set can contain nothing.
Therefore, the set it empty

HOPE IT HELPS..... :-)

Answer 2

Answer:

{x:x is a natural number,x < 5 and x > 7}

The set would be an empty set i.e. {∅}

Explanation:

Question is about the intersection of two sets i.e.

Set A = {x:x is a natural number,x < 5 }

         ={1,2,3,4}

Set B = {x:x is a natural number,x >7}

         ={8,9,10..........}

As We can observe that the intersection of Set A and Set B is 0.

Therefore the intersection of Set A and Set B is an empty Set.