Question

if A is an empty set and B is a set of vowels then A union B is​

Answer 1

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

GIVEN

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

TO DETERMINE

$\sf{ A \cup B}$

CONCEPT TO BE IMPLEMENTED

EMPTY SET : A set S is said to be Empty Set if S contains no element .

$\sf{ It \: is \: denoted \: by \: \: \Phi\: }$

2. For two sets A and B, Union of A and B is defined as

$\sf{ A \cup B = \{ \: x : x \in A \: \: or \: \: x \in B \: \} }$

CALCULATION

Here it is given that

A is empty set

So A contains no element

B is the set of vowels

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

Hence

$\sf{ A \cup B}$

$= \sf{ B} \: \: \: ( \because \: A \: \: is \: empty \: set \: )$

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

RESULT

$\boxed{\sf{ \: \: A \cup B} \: = \{ \: a, e, i, o, u \: \} \: }$

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

If A and B are two non empty sets then A∪B=B∩A iff 

https://brainly.in/question/24020831

Answer 2

$Given \: \blue{A} \: is \: an \: empty \: set .$

$and \: \pink{ B} \: is \: a \: set \: of \: vowels$

$\red{ A \cup B }\\= \{ \: \} \cup \{ a,e,i,o,u \} \\= \{ a,e,i,o,u \}\\= \pink{ B}$

Therefore.,

$\red{ A \cup B }\green { = B }$

••♪