Intersection of Sets in set theory is defined as the set of common elements of all the sets. If A and B are two sets, then the intersection of set A and set B is the set of the same elements in both A and B. The intersection of sets is equivalent to logical AND. The intersection of two sets A and B is written as A ∩ B. If A = {p, q, r, s}, B = {r, s, t} then A ∩ B is,

From the above discussion, we know that A ∩ B set contains the common elements of sets A and B. There are several formulas related to the intersection of sets. On the basis of the cardinality of sets, the formula for finding a number of elements in the intersection of sets is given below:

Venn Diagram is a way of representing the sets and their interaction in a very effective visual way. Let’s consider the two cases of the intersection of two and three sets.

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AS 1319 specifies that Fire Signs should advise the location of fire alarms and fire fighting facilities. Fire Signs shall comprise a red rectangul...

If the cardinalities of sets A, B, and A ∪ B are given, then we can compute the cardinality of A ∩ B. Based on the cardinality (total number of elements in the set) the formula for finding the cardinality of the intersection of two sets is given by:

The associative law of the intersection of sets states that we can perform the intersection of any two sets first in any order and then after other sets.

Fire extinguisher discs are used to label different types of fire extinguishers and communicate the type of fire that they can be used for.

Note: The result of the intersection of sets can be a set with no elements i.e., an empty set, if there is no common element in the sets under consideration.

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AS 1319 specifies that Fire Signs should advise the location of fire alarms and fire fighting facilities. Fire Signs shall comprise a red rectangul...

Intersection of sets can be performed among n number of sets. Let A, B, and C are three sets then, the intersection of these sets is the set of common elements in all the three sets. It is denoted by A ∩ B ∩ C.

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AS 1319 specifies that Fire Signs should advise the location of fire alarms and fire fighting facilities. Fire Signs shall comprise a red rectangul...

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AS 1319 specifies that Fire Signs should advise the location of fire alarms and fire fighting facilities. Fire Signs shall comprise a red rectangul...

AS 1319 specifies that Fire Signs should advise the location of fire alarms and fire fighting facilities. Fire Signs shall comprise a red rectangul...

The commutative law of the intersection of sets states that the ordering of sets does not matter while performing an intersection.

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AS 1319 specifies that Fire Signs should advise the location of fire alarms and fire fighting facilities. Fire Signs shall comprise a red rectangul...

Fire extinguisher signs indicate to the public the location of a fire extinguisher in case of an emergency. They are recognised by a white symbol on a red background with the words ‘FIRE EXTINGUISHER’, and should be secured to the wall two metres from the ground for clear visibility.

The distributive law of the intersection of sets states that the intersection of a set A with the union of the other two sets B and C is equivalent to the intersection of set A and B union intersection of set A and C.

The intersection of sets is represented by the symbol ∩. The intersection of n sets can be written as Set 1 ∩ Set 2 ∩ …….. ∩ Set n.

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AS 1319 specifies that Fire Signs should advise the location of fire alarms and fire fighting facilities. Fire Signs shall comprise a red rectangul...

Let A and B be two sets with some common elements. The resultant set for A ∩ B contains the common elements in both sets. Below is the Venn diagram for the intersection of two sets A and B.

Intersection of Sets is the operation in set theory and is applied between two or more sets. It result in the output as all the elements which are common in all the sets under consideration. For example, The  intersection of sets A and B is the set of all elements which are common to both A and B.