How Many Elements Are in the Intersection of Two Sets with No Common Elements?

In summary, the Null Set is a set with no elements, denoted by ∅ or { }. "sub1 intersect sub2" refers to the intersection of two sets, meaning the common elements between them. The Null Set is a subset of all sets, including itself, as it contains no elements. However, it cannot be a proper subset as it is always equal to itself. The cardinality of the Null Set is 0, as it contains no elements.
  • #1
pampam
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How many elements are in a sub1 intersect a sub 2 which equals a null set

when a sub 1 =12 and a sub2 = 18
 
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  • #2
what ...is it sub1 INTERSECT (sub2=null set)?
 
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A null set, also known as an empty set, is a set that does not contain any elements. In this case, the intersection of sub1 and sub2 is a null set, meaning that there are no elements that are common to both sub1 and sub2. Therefore, the number of elements in the intersection is 0. This is because the sets 12 and 18 do not have any common elements, so their intersection is empty.
 

FAQ: How Many Elements Are in the Intersection of Two Sets with No Common Elements?

What is the Null Set?

The Null Set, also known as the empty set, is a set that contains no elements. It is denoted by the symbol ∅ or { }.

What does "sub1 intersect sub2" mean?

"sub1 intersect sub2" refers to the intersection of two sets, which is the set of all elements that are common to both sub1 and sub2.

Is the Null Set a subset of all sets?

Yes, the Null Set is a subset of all sets, including itself. This is because the Null Set contains no elements, and all sets must contain the elements listed in their definition.

Can the Null Set be a proper subset?

No, the Null Set cannot be a proper subset. A proper subset is a subset that is not equal to the original set. Since the Null Set does not contain any elements, it is always equal to itself and cannot be a proper subset.

What is the cardinality of the Null Set?

The cardinality, or size, of the Null Set is 0. This is because the Null Set does not contain any elements, and the cardinality of a set is defined as the number of elements in the set.

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