Find the cardinal number for a set A-x - x - 5n- n - W- n - 4 - -2 Marks-

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

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Standard XII

Mathematics

Greatest Integer Function

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Question

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

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Solution

Given the set $A = {(x : x = 5 n, n \in W, n < 4} .$ ...(0.5 marks)

$n$ 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 $5 \times 3.$

$∴ A = {0, 5, 10, 15}$ ...(0.5 marks)

$∴ n (A) = 4$ ...(0.5 marks)

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Similar questions

Find the cardinal number of the following sets :

(i) $A_{1} = {- 2, - 1, 1, 3, 5}$

(ii) $A_{2} = {x : x \in N a n d 3 \leq x < 7}$

(iii) $A_{3} = {p : p \in W a n d 2 p - 3 < 8}$

(iv) $A_{4} = {b : b \in Z a n d - 7 < 3 b - 1 \leq 2}$ $Cardinal~Number~of~set~:The number of elements in a set is called its Cardinal Number.$

Q. The cardinal number of

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

is ___.

Q. Find the cardinality of the set

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

.
[2 Marks]

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

Q. Find the cardinality of the set

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

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Find the cardinal number for a set A={(x:x=5n,n∈W,n<4} . [2 Marks]

Given the set A={(x:x=5n,n∈W,n<4}. ...(0.5 marks) 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} ...(0.5 marks) ∴n(A)=4 ...(0.5 marks)

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

Given the set $A = {(x : x = 5 n, n \in W, n < 4} .$ ...(0.5 marks)

$n$ 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 $5 \times 3.$

$∴ A = {0, 5, 10, 15}$ ...(0.5 marks)

$∴ n (A) = 4$ ...(0.5 marks)