Does Null Set Intersect Null Set = Null set?

Question

Does Null Set Intersect Null Set = Null set? and also does Null set union Null set = Null set? Why?

Answer 1

the intersection of 2 null sets is a null set.  eg: {1,2,3} n {1,2}= {1,2} ,

so,similarly {0} n {0}= {0}

hope this helps you!!

Answer 2

An intersection takes all the elements that are in both sets.  If set A has no elements (null set) and set B has no elements, the intersection (elements in both) is also empty (null set).

Similarly, a union takes all the elements in either set.  Again since both sets are empty, you end up with a combined set that is also empty.

It's pretty straight forward, if you think about it.

Answer 3

null set is set which doesnt contain anythingif set A contain null set and set B contains multiple of 2 then it is null set  

Answer 4

Yes to both.  Keep in mind that the null set is the only set

whose cardinality(count) is zero.  

Where do two empty sets intersect.  No where, no common elements so cardinality is zero.   Moreover, take the

union of two null sets.  The cardinality, if they are disjoint is 0 + 0  but of course the null set is the null set so they are

not disjoint but that still means cardinality of the union set is

c(null) + c(null) - c(null∩null) = 0+0-0 = 0

and a set whose cardinality is zero is by definition, the null set!!

********** Note to one of the other answerers*****

Mansi, please note that {0} is not the null set

{0} is  a set containing 0 and it has cardinality 1 .

moreover { null set } is not the null set, but a set

containing the null set and its cardinality is 1.  

Don't put the null set in container brackets or braces.