The set B - -x - x - 3n -1-n - N-and-n - 20- is a finite set- False-True-

The correct option is B True Given 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 ⇒ B is ...

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Standard IX

Mathematics

The set B = {...

Question

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

True

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False

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Solution

The correct option is A
True

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}

$\Rightarrow$ B is finite set.

$∴$ The statement is True.

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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) ${x : x = \frac{n - 2}{n + 1}, n \in W}$

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

Q. The set

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

is _________.

The set $A = {x : x = \frac{n - 1}{n}, where n ϵ N}$ is a finite set.

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

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Standard IX Mathematics

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The set B={x:x=3n+1, nϵN and n≤20} is a finite set.

The correct option is A True Given B={x:x=3n+1 where nϵN and n≤20} Substituting n = 1, 2, 3, 4, 5.......20 we get B = {4, 7, 10, 13, 16....61} ⇒ B is finite set. ∴ The statement is True.

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

The correct option is A
True

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}

$\Rightarrow$ B is finite set.

$∴$ The statement is True.