The cardinal number of A-x - x - 5n- n - W- n - 4 is -

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, ...

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Standard VII

Mathematics

Cardinality of Sets

The cardinal ...

Question

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

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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 $5 \times 3.$

$∴ A = {0, 5, 10, 15}$

$∴ n (A) = 4$

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

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

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

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 $5 \times 3.$

$∴ A = {0, 5, 10, 15}$

$∴ n (A) = 4$