Question

If A is an empty set and B is a set of vowels, then A∩B is *



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Answer 1

Given:

A is an empty set

B is a set of vowels

To find:

A∩B

Calculation:

According to the given data,

A = { }

B = {A,E,I,O,U}

A∩B means, it is a set containing the common elements present in set A and set B. As A is an empty set, A∩B will also be a null set

=> A∩B = { }

A∩B = { }

Answer 2

Given  : A is an empty set and B is a set of vowels,

To find : A∩B is

A

B

A or B

None of these

Solution:

A is an empty set

=> A = { }  or  Ф

B is a set of vowels,

=> B = { A , E , I , O , U }

A∩B    is common elements in A & B

=> A∩B    = { }  or  Ф

A = { }  or  Ф

=>  A∩B    = A

A∩B  is  A  if  A is an empty set and B is a set of vowels

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