Question

$IfAisanyset,then$

• A. $A\bigcup A’=ɸ$
• B. $A\bigcup A’=U$
• C. $A\bigcap A’=U$
• D. $Noneofthese$

Answer 1

The correct option is B

$A\bigcup A’=U$

Explanation for the correct option:

Given,

A set is a collection of elements with a common relation between them

A is a set $=$A is the collection of elements that are related by something

Whereas, $A\text{'}=A\text{'}$ is the collection of every other element which is not in set A Combining

Hence $A\cup A\text{'}$ is the collection of every element possible

$\mathbf{\Rightarrow }\mathit{A}\mathbf{\cup }\mathit{A}\mathbf{\text{'}}\mathbf{=}\mathit{U}$

Hence, option(B) is correct.