The set A - x - x - n -1- n - where -n - N is a finite set-A- TrueB- False

The correct option is B False Given, A = { x:x=n 1/n, where nϵ N } Substituting n = 1, 2, 3 ........ we get A = { 0, 1/2, 2/3……} ⇒ A = Infinite set ⇒ Stateme ...

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Standard VII

Mathematics

Finite and Infinite Set

The set A = x...

Question

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

True

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False

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Solution

The correct option is B
False

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

Substituting n = 1, 2, 3 ........ we get

$A = {0, \frac{1}{2}, \frac{2}{3} \dots \dots}$

$\Rightarrow$ A = Infinite set

$\Rightarrow$ Statement is false.

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Similar questions

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

Q. The set

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

is __________.

Q. If

A = {x : x = 3^{n}, n \leq 6, n ϵ N}

and

B = {x : x = 9^{n}, n \leq 4, n ϵ N}

, then which of the following is false?

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The set A={x:x=n−1n, where nϵN} is a finite set.

The correct option is B False Given, A={x:x=n−1n, where nϵN} Substituting n = 1, 2, 3 ........ we get A={0,12,23……} ⇒ A = Infinite set ⇒ Statement is false.

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

The correct option is B
False

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

Substituting n = 1, 2, 3 ........ we get

$A = {0, \frac{1}{2}, \frac{2}{3} \dots \dots}$

$\Rightarrow$ A = Infinite set

$\Rightarrow$ Statement is false.