Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3 - Page 83: 161

False

Set\[A\cup \varnothing \]contains all those elements which are present either in set A or set\[\varnothing \]or in both. Now, as there is no element in set\[\varnothing \]. So, \[A\cup \varnothing =A\] Therefore, the statement ‘\[A\cup \varnothing =\varnothing \]’ is false. The true statement is:\[A\cup \varnothing =A\]