Let $A=

Question:

Let $A=\{\phi,\{\phi\}, 1,\{1, \phi\}, 2\}$. Which of the following are true?

(i) $\phi \in A$

(ii) $\{\phi\} \in A$

(iii) $\{1\} \in A$

(iv) $\{2, \phi\} \subset A$

(v) $2 \subset A$

(vi) $\{2\{1\}\} \not \subset A$

(vii) $\{\{2\},\{1\}\} \not \subset A$

(viii) $\{\phi,\{\phi\},\{1, \phi\}\} \subset A$

(ix) $\{\{\phi\}\} \subset A$

Solution:

(i) True

(ii) True

(iii) False

The correct form would be $\{1\} \subset A$.

(iv) True

(v) False

The correct form would be $1 \in A$.

(vi) True

(vii) True

(viii) True

(ix) True

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