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. (0.75 Mark) Thus, the nbsp;elements of A are 5× 0, 5× 1, 5× 2 and 5× 3 ...

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Standard IX

Mathematics

Cardinality

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Question

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

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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. (0.75 Mark)

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

$∴ A = {0, 5, 10, 15}$ (0.75 Mark)

$∴ n (A) = 4$ (0.75 Mark)

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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. (0.75 Mark) Thus, the elements of A are 5×0,5×1,5×2 and 5×3. ∴A={0,5,10,15} (0.75 Mark) ∴n(A)=4 (0.75 Mark)

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. (0.75 Mark)

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

$∴ A = {0, 5, 10, 15}$ (0.75 Mark)

$∴ n (A) = 4$ (0.75 Mark)