0 votes 0 votes Let S={$\varnothing$,{1}} ,then which of the following is true 1.$\varnothing$ $\epsilon$ 2s 2.{$\varnothing$} $\subseteq$ 2s 3.$\varnothing$ $\subseteq$ 2s Set Theory & Algebra set-theory&algebra discrete-mathematics + – junaid ahmad asked Dec 23, 2017 junaid ahmad 310 views answer comment Share Follow See all 4 Comments See all 4 4 Comments reply Manu Thakur commented Dec 23, 2017 reply Follow Share S = {{ }, {1}} 2^S = {{ }, {{ }}, {{1}}, {{ },{1}} } I think all are correct. 4 votes 4 votes junaid ahmad commented Dec 23, 2017 reply Follow Share @Manu Can you point out set in 2s which makes ∅ ⊆ 2s :( 0 votes 0 votes Ashwin Kulkarni commented Dec 23, 2017 reply Follow Share ∅ can be subset of any set. 0 votes 0 votes Ajay Jadhav commented Dec 23, 2017 reply Follow Share when $ \varnothing \epsilon A $ and $\varnothing \epsilon P(A)$ then $ \varnothing \subseteq P(A) $ But I don't think 2nd option {∅}⊆ 2s is correct since it is element in $P(A)$ 2 votes 2 votes Please log in or register to add a comment.