Question

If A={2,3,4,5,6,7} & B={6,7,8,9,10}, then n(A∩B)= *​

Answer 1

Answer:

6,7

Step-by-step explanation:

Answer is 6,7

A union B=6,7

Answer 2

Answer:

n(A∩B)= 2.

Step-by-step explanation:

A intersection B

The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B

now,

• A={2,3,4,5,6,7} - given
• B={6,7,8,9,10} - given

Hence ,

(A∩B)= {6,7}

As only 6 and 7 are the common elements of A and B.

The cardinal number of a set is the total number of elements present in the set. For example, if Set A = {1,2,3,4}, then the cardinal number (represented as n (A)) = 4.

hence ,

n(A∩B)= 2.

remember,

Intersection of sets is the set of elements which are common to both the given sets. In set theory, for any two sets A and B, the intersection is defined as the set of all the elements in set A that are also present in set B. We use the symbol '∩' that denotes 'intersection of'.

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