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Question
Mathematics
Statement I Let A= a, b and B= a, b, c . Then, A not ⊂ B Statement II If A ⊂ B, then A ∪ B=B.
Q.
Statement I
Let
A
=
{
a
,
b
}
and
B
=
{
a
,
b
,
c
}
. Then,
A
⊂
B
Statement II
If
A
⊂
B
, then
A
∪
B
=
B
.
453
155
Sets
Report Error
A
Statement I is true
B
Statement II is true
C
Both are true
D
Both are false
Solution:
A
=
{
a
,
b
}
,
B
=
{
a
,
b
,
c
}
Since, all the elements of
A
are in
B
. So,
A
⊂
B
Hence, Statement I is false.
∵
A
⊂
B
⇒
A
∪
B
=
B
Therefore, Statement II is true.