Question

If
A = { x: x is an even number less than 10) and and
B={ x: x is a prime number less than 10}
then n(A interaction B) is​

Answer 1

Answer:

A={2,4,6,8}

B={2,3,5,7}

a intersection b = {2}

Step-by-step explanation:

Intersection: The set operation intersection takes only the elements that are in both sets. The intersection contains the elements that the two sets have in common. The intersection is where the two sets overlap. In set-builder notation, A ∩ B = {x ∈ U : x ∈ A and x ∈ B}.

Answer 2

Given :

A = { x: x is an even number less than 10) and and

B={ x: x is a prime number less than 10}

To Find :  n(A  ∩ B)

Solution:

A = { x: x is an even number less than 10)

A = {    ..., 2 , 4 , 6 , 8 }

B={ x: x is a prime number less than 10}

=> B = { 2 , 3 , 5 , 7 }

Only prime number which is even is  2

A  ∩ B  = { 2}

There is only  1 element in  A  ∩ B

n(A  ∩ B)  means number of elements in A  ∩ B

Hence n(A  ∩ B)  = 1

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