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Let . Which of the following statements are incorrect and…
MATHEMATICS · Multi-part · CBSE · Mathematics · Sets · Sets
Problem
3. Let
A
=
{
1
,
2
,
{
3
,
4
}
,
5
}
\mathrm{A}=\{1,2,\{3,4\}, 5\}
A
=
{
1
,
2
,
{
3
,
4
}
,
5
}
. Which of the following statements are incorrect and why? (i)
{
3
,
4
}
⊂
A
\{3,4\} \subset \mathrm{A}
{
3
,
4
}
⊂
A
(ii)
{
3
,
4
}
∈
A
\{3,4\} \in \mathrm{A}
{
3
,
4
}
∈
A
(iii)
{
{
3
,
4
}
}
⊂
A
\{\{3,4\}\} \subset \mathrm{A}
{{
3
,
4
}}
⊂
A
(iv)
1
∈
A
1 \in \mathrm{~A}
1
∈
A
(v)
1
⊂
A
1 \subset \mathrm{~A}
1
⊂
A
(vi)
{
1
,
2
,
5
}
⊂
A
\{1,2,5\} \subset \mathrm{A}
{
1
,
2
,
5
}
⊂
A
(vii)
{
1
,
2
,
5
}
∈
A
\{1,2,5\} \in \mathrm{A}
{
1
,
2
,
5
}
∈
A
(viii)
{
1
,
2
,
3
}
⊂
A
\{1,2,3\} \subset \mathrm{A}
{
1
,
2
,
3
}
⊂
A
(ix)
ϕ
∈
A
\phi \in A
ϕ
∈
A
(x)
ϕ
⊂
A
\phi \subset \mathrm{A}
ϕ
⊂
A
(xi)
{
ϕ
}
⊂
A
\{\phi\} \subset \mathrm{A}
{
ϕ
}
⊂
A
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