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Byju's Answer
Standard XIII
Mathematics
Cardinality of Sets
If A=x,x∈ℕ an...
Question
If
A
=
{
x
,
x
∈
N
and
16
−
x
2
≥
0
}
, then cardinality of set
A
is
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Solution
16
−
x
2
≥
0
⇒
x
2
−
16
≤
0
⇒
(
x
+
4
)
(
x
−
4
)
≤
0
⇒
x
∈
[
−
4
,
4
]
Since,
x
∈
N
⇒
x
∈
{
1
,
2
,
3
,
4
}
∴
n
(
A
)
=
4
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Cardinality of Sets
Standard XIII Mathematics
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