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Elements of a Set

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Question

Write the cardinal number of each of the following sets:

$F = {x : x \in z a n d - 2 < x \leq 5} .$

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Solution

Step : Finding the cardinal number of the given set

$Given: F = {x : x \in z a n d - 2 < x \leq 5}$

Integers from -1 to 5 are -1, 0, 1, 2, 3, 4 and 5.

∴ The total elements in set F is 7.

We know that the cardinal number of a set is the number of elements in it.
Hence, the cardinal number of set F is 7.

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

Write the cardinal number of each of the following sets:

$G = {x : x x is a perfect square number, x \in N a n d x \leq 30}$

A =

{

x : x = 5^{n}, n \in N

n < 5

}

B =

{

x : x

}

X =

{

x : x

}

P = {x : x < 0, x \in W}

Q = {x : - 3 \leq x \leq 5, x \in Z}

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

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