Question

For each of the ff. sets, determine whether 2 is an element of that set.

1. {{2},{2,{2}}}
2. {{{2}}}

Answer 1

1. Since $2\notin\{\{2\},\{2,\{2\}\}\} ,$ we conclude that $2$ is not an element of this set.

2. Since $2\notin \{\{\{2\}\}\} ,$ we conclude that $2$ is not an element of this set.