The set B - -x - x - 3n -1-n -N-and-n - 20- is -a finite setan infinite seta null setsingleton set

The correct option is A a finite setGiven B = {x : x = 3n +1 where n ϵ N and n ≤ 20} Substituting n = 1, 2, 3, 4, 5.......20 we get, B = 4, 7, 10, 13, 16,.... ...

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Standard IX

Mathematics

Finite and Infinite Sets

The set B = {...

Question

The set $B = {x : x = 3 n + 1, n ϵ N and n \leq 20}$ is _________.

a finite set

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a null set

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an infinite set

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singleton set

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Solution

The correct option is A a finite set
Given $B = {x : x = 3 n + 1 where n ϵ N and n \leq 20}$

Substituting n = 1, 2, 3, 4, 5.......20 we get,

B = {4, 7, 10, 13, 16,...., 61}.
Set B has finite number of elements therefore, set B is a finite set.

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Similar questions

State whether each of the following sets is a finite set or an infinite set:

(i) The set of multiples of 8.

(ii) The set of integers less than 10.

(iii) The set of whole numbers less than 12.

(iv) ${x : x = 3 n - 2, n \in W, n \leq 8}$ (v) ${x : x = 3 n - 2, n \in Z, n \leq 8}$ (vi) ${x : x = \frac{n - 2}{n + 1}, n \in W}$

Q. The set

B = {x : x = 3 n + 1, n ϵ N and n \leq 20}

is _________.

Q. The set

B = {x : x = 3 n + 1, n ϵ N and n \leq 20}

is _________.

Q. The set

A = {x : x = \frac{n - 1}{n}, where n ϵ N}

is __________.

The set $B = {x : x = 3 n + 1, n ϵ N and n \leq 20}$ is a finite set.

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The set B={x:x=3n+1, n ϵ N and n≤20} is _________.

The correct option is A a finite setGiven B={x:x=3n+1 where n ϵ N and n≤20} Substituting n = 1, 2, 3, 4, 5.......20 we get, B = {4, 7, 10, 13, 16,...., 61}. Set B has finite number of elements therefore, set B is a finite set.

The set $B = {x : x = 3 n + 1, n ϵ N and n \leq 20}$ is _________.

The correct option is A a finite set
Given $B = {x : x = 3 n + 1 where n ϵ N and n \leq 20}$

Substituting n = 1, 2, 3, 4, 5.......20 we get,

B = {4, 7, 10, 13, 16,...., 61}.
Set B has finite number of elements therefore, set B is a finite set.