Question

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



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Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

INTERSECTION OF TWO SETS

For any two non empty sets A & B, the intersection of A & B is defined as

$\sf{ A \cap B = \{x : x \in A \: \: and \: \: x \in \: B\: \} }$

GIVEN

A is an empty set and B is set of vowels,

TO DETERMINE

A∩B

CALCULATION

By the given condition

$\sf{ A\: = \phi}$

$\sf{B = \{ a, e, i , o , u \} }$

So A contains no element

$\sf{A \sub \: B}$

Hence

$\sf{A \cap \: B = A = \phi \: }$

RESULT

$\boxed{ \sf{ \: \: A \cap \: B = \phi \: \: \: }}$

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LEARN MORE FROM BRAINLY

2. Represent all possible one-one functions from the set A = {1, 2} to the set B = {3,4,5) using arrow diagram.

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Answer 2

Answer:

Null set

Step-by-step explanation:

We are given that A is an empty set or a null set. A null set has no elements in it.

Secondly regarding set B, the elements in B would be

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

Now A∩B means that we need to find the common elements between set A and B. SInce in our case A is already empty, so an empty cannot have anything in common with some other set. Hence result of

A∩B is a null set