Finite and Infinite Sets
Finite and Infinite Sets
| Set |
Finite / Infinite |
Reason |
|
(i) Set of concentric circles in a plane
|
Infinite Set
|
Infinitely many concentric circles can be drawn.
|
|
(ii) Set of letters of the English alphabets
|
Finite Set
|
There are only
\[
26
\]
letters.
|
|
(iii)
\[
\{x\in N:x>5\}
\]
|
Infinite Set
|
Natural numbers greater than
\[
5
\]
continue endlessly.
|
|
(iv)
\[
\{x\in N:x<200\}
\]
|
Finite Set
|
Only finitely many natural numbers are less than
\[
200
\]
|
|
(v)
\[
\{x\in Z:x<5\}
\]
|
Infinite Set
|
Integers less than
\[
5
\]
extend indefinitely in the negative direction.
|
(vi)
\[
\{x\in R:0
|
Infinite Set
|
Infinitely many real numbers lie between
\[
0
\]
and
\[
1
\]
|
|
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