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

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

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

Byju's Answer

Standard X

Mathematics

Cardinality of Sets

Find the card...

Question

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

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.

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

$∴ A = {0, 5, 10, 15}$

$∴ n (A) = 4$

Suggest Corrections

Similar questions

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 ______________________.

The set builder form of " A is the set of the whole numbers which are divisible by 5 and are less than 7" is

If U = {x : x \in N},

A = {x : x = 2 n, n \in N}

and

B = {x : x is a prime number},

then

A \cap B

is a set with cardinality ________.

Q. A finite set

S

is given by

S = {x : x \in N : x \leq 15} .

Find the cardinality of its power set.

Join BYJU'S Learning Program

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

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

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

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

$n$ can take values of 0, 1, 2 and 3.

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

$∴ A = {0, 5, 10, 15}$

$∴ n (A) = 4$