edited by
251 views
0 votes
0 votes

Determine whether these statements are true or false.

  1.  ∅ ∈ {∅}
  2.  ∅ ∈ {∅, {∅}}
  3. {∅} ∈ {∅}
  4. {∅} ∈ {{∅}}
  5. {∅} ⊂ {∅, {∅}}
  6.  {{∅}} ⊂ {∅, {∅}}
  7. {{∅}} ⊂ {{∅}, {∅}}
edited by

1 Answer

1 votes
1 votes

i think in 7  rhs {{∅}, {∅}} both are same according to set definition only distinct are allowed so it will become {{∅}} now question is 

  1. {{∅}} ⊂ {{∅}} is it proper subset so answer is false. please tell am i thinking right??

Related questions

0 votes
0 votes
2 answers
1
0 votes
0 votes
1 answer
2
0 votes
0 votes
1 answer
3
himgta asked Feb 18, 2019
464 views
Let f be a function from the set A to the set B.Let S and T be subsets of A.Show that$f(S\cup T)=f(S)\cup f(T)$$f(S\cap T)\subseteq f(S)\cap f(T)$Show that inclusion in p...