The set B - x - x -3 n -1- n - N and n - 20 isA- a finite setB- a null setC- an infinite setD- singleton 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 VIII

Mathematics

Finite and Infinite Set

The set B = x...

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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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.