(i) This is not subset of given set but belongs to the given set.
Thus, the correct form would be \(a \in\{a, b, c\}\)
(ii) In this \{a\} is subset of \(\{a, b, c\}\)
Thus, the correct form would be
\(\{a\} \subset\{a, b, c\}\)
(iii) ' \(a\) ' is not the element of the set.
So, the correct form would be
\(\{a\} \in\{\{a\}, b\}\)
(iv) \(\{a\}\) is not a subset of given set.
So, the correct form would be
\(\{a\} \in\{\{a\}, b\}\)
(v) \(\{b, c\}\) is not a subset of given set. But it belongs to the given set.
Thus, the correct form would be
\(\{b, c\} \in\{a,\{b, c\}\}\)
(vi) \(\{a, b\}\) is not a subset of given set.
Thus, the correct form would be
$$
\{a, b\} \not \subset\{a,\{b, c\}\}
$$
(vii) \(\phi\) does not belong to the given set but it is subset.
Thus, the correct form would be
\(\phi \subset\{a, b\}\)
(viii) Since, it is the correct form. \(\phi\) is subset of every set.
(ix) \(x+3=3\)
$$
x=0=\{0\}
$$
It is not \(\phi\)
Thus, the correct form would be
\(\{x: x+3=3\} \neq \phi\)
