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Here's an example.

Everybody in set A has blonde hair but some have blue eyes and some have brown. Everybody in set B has black hair but some have blue eyes and some have brown.

Notice that there are some people in both sets that have blue eyes.

If we ask for the intersection of sets A and B we will get the people with blue eyes because that is the feature that they have in common. In this 'intersection set' there will be people with blonde hair (from set A) and people with black hair (from set B).

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Q: What is an intersection set?
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Related questions

What is the union intersection set?

Given two or more sets there is a set which is their union and a set which is there intersection. But, there is no such thing as a "union intersection set", as required for the answer to the question.


What is intersection of the set?

You normally do not have an intersection of only one set. The intersection of a set with itself is the set itself - a statement that adds little value. The intersection of two sets is the set which contains elements that are in each of the two sets.


Why empty set is a set?

The concept of closure: If A and B are sets the intersection of sets is a set. Then if the intersection of two sets is a set and that set could be empty but still a set. The same for union, a set A union set Null is a set by closure,and is the set A.


What is the intersection of the set of rational numbers and the set of irrational number?

Its a null set.


How will you write using the venn diagram the union of set a(1234) and the intersection of set b(10111213) and set c(1213)?

If B = {10111213} and C = {1213} then their intersection is the empty set, {}.The union of A with an empty set is set A.


What is the intersection set?

is the result after doing intersection on 2 or more sets. It contains the elements which are common to all the sets on which intersection were done.


Is the intersection of two infinite sets always an infinite set?

No. It can be infinite, finite or null. The set of odd integers is infinite, the set of even integers is infinite. Their intersection is void, or the null set.


What does intersection mean mathiticaly?

The intersection is the set of solutions that satisfy two or more mathematical expressions.


Is intersection of two countably infinite sets can be finite?

Easily. Indeed, it might be empty. Consider the set of positive odd numbers, and the set of positive even numbers. Both are countably infinite, but their intersection is the empty set. For a non-empty intersection, consider the set of positive odd numbers, and 2, and the set of positive even numbers. Both are still countably infinite, but their intersection is {2}.


Do sets always have an intersection that is not the empty set?

No, they do not.


Is the intersection of the set of rational numbers and the set of whole numbers is the set of rational numbers?

No, it is not.


What is the symbol of intersection?

In set theory, the symbol of intersection is ∩, like an upside down U.