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S={2,a,{3},4} and R={{a},3,4,1} indicate whether the following are true or false

1) $\varnothing \subset R$

2)$\varnothing \subseteq \left \{ \left \{ a \right \} \right \}\subseteq R\subseteq E$   E=Universal Set

3) $\left \{ \varnothing \right \}\subseteq S$

4) $\varnothing \in R$

I think 1,2 are true and 3 is false and about 4 nothing is clear
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1. True, Empty set {} or ∅ is subset of every set.
2. True, It's also true for the same reason as in 1
3. False, {{ }} is not subset of S
4. False, phi is not member of set R

Statement 3 would have been true if set S were as S=S={{ },2,a,{3},4}
Statement 4 would have been true if set R were as R={{ },{a},3,4,1}

Hence, only statement 3 & 4 are False!

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