The set B - x - x -3 n -1- n - W and n - 5 is a finite set-A- TrueB- False

The correct option is A True GivenB = {x : x = 3n +1, n ∈ W and n ≤ 5} Substituting n = 0, 1, 2, 3, 4, 5. we get B = 1, 4, 7, 10, 13, 16 ⇒ B is finite set. ∴ T ...

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Standard VI

Mathematics

Finite Set

The set B = x...

Question

The set $B = {x : x = 3 n + 1, n \in W and n \leq 5}$ is a finite set.

True

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False

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Solution

The correct option is A
True

Given $B = {x : x = 3 n + 1, n \in W and n \leq 5}$

Substituting n = 0, 1, 2, 3, 4, 5. we get

B = {1, 4, 7, 10, 13, 16}

$\Rightarrow$ B is finite set.

$∴$ The statement is True.

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Similar questions

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(ii) The set of integers less than 10.

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

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The set B={x:x=3n+1, n∈W and n≤5} is a finite set.

The correct option is A True GivenB={x:x=3n+1, n∈W and n≤5} Substituting n = 0, 1, 2, 3, 4, 5. we get B = {1, 4, 7, 10, 13, 16} ⇒ B is finite set. ∴ The statement is True.

The set $B = {x : x = 3 n + 1, n \in W and n \leq 5}$ is a finite set.

The correct option is A
True

Given $B = {x : x = 3 n + 1, n \in W and n \leq 5}$

Substituting n = 0, 1, 2, 3, 4, 5. we get

B = {1, 4, 7, 10, 13, 16}

$\Rightarrow$ B is finite set.

$∴$ The statement is True.