Find the cardinality of the set A-x - x - 5n- n - W- n - 4-2 Marks-

Given the set A={(x : x = 5n, n ∈ W, n lt; 4}. n can take values of 0, 1, 2 and 3. [0.5 Marks] Thus, the nbsp;elements of A are 5× 0, 5× 1, 5× 2 and 5× 3 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Cardinality

Find the card...

Question

Find the cardinality of the set $A = {(x : x = 5 n, n \in W, n < 4}$ .
[2 Marks]

Open in App

Solution

Given the set $A = {(x : x = 5 n, n \in W, n < 4} .$

$n$ can take values of 0, 1, 2 and 3. [0.5 Marks]

Thus, the elements of A are $5 \times 0, 5 \times 1, 5 \times 2$ and $5 \times 3.$

$∴ A = {0, 5, 10, 15}$ [1 Mark]

$∴ n (A) = 4$ [0.5 Marks]

Suggest Corrections

Similar questions

Q. Find the cardinality of the set

A = {(x : x = 5 n, n \in W, n < 4}

Q. Find the cardinal number for a set

A = {(x : x = 5 n, n \in W, n < 4}

. [2 Marks]

Q. The cardinal number of

A = {(x : x = 5 n, n \in W, n < 4}

is ___.

The cardinal number of $A = {(x : x = 5 n, n \in W, n < 4}$ is ___.

The set A = {5, 10, 15, 20, 25, 30} written in the set builder form is ______________________.

Join BYJU'S Learning Program

Find the cardinality of the set A={(x:x=5n,n∈W,n<4}. [2 Marks]

Given the set A={(x:x=5n,n∈W,n<4}. n can take values of 0, 1, 2 and 3. [0.5 Marks] Thus, the elements of A are 5×0,5×1,5×2 and 5×3. ∴A={0,5,10,15} [1 Mark] ∴n(A)=4 [0.5 Marks]

Find the cardinality of the set $A = {(x : x = 5 n, n \in W, n < 4}$ .
[2 Marks]

Given the set $A = {(x : x = 5 n, n \in W, n < 4} .$

$n$ can take values of 0, 1, 2 and 3. [0.5 Marks]

Thus, the elements of A are $5 \times 0, 5 \times 1, 5 \times 2$ and $5 \times 3.$

$∴ A = {0, 5, 10, 15}$ [1 Mark]

$∴ n (A) = 4$ [0.5 Marks]