88 views

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

1.$\varnothing$ $\epsilon$ 2s

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

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

| 88 views
+4
S = {{ }, {1}}

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

I think all are correct.
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@Manu Can you point out set in 2s which makes ∅ ⊆ 2s :(

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∅ 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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