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Let S={$\varnothing$,{1}} ,then which of the following is true

 1.$\varnothing$ $\epsilon$ 2s

2.{$\varnothing$} $\subseteq$ 2s

3.$\varnothing$ $\subseteq$ 2s

in Set Theory & Algebra by Loyal (8.5k points) | 83 views
+4
S = {{ }, {1}}

2^S = {{ }, {{ }}, {{1}}, {{ },{1}} }

I think all are correct.
0

@Manu Can you point out set in 2s which makes ∅ ⊆ 2s :(

0
∅ can be subset of any set.
+2

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 $P(A)$

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