Question

find the cardinal number of set G = {x|x ∈ N and x is a negative}

Answer 1

Answer:

n(AΔB)=n(A∪B)−n(A∩B) [As n(A∪B)=n(A)+n(B)−n(A∩B)]

=n(A)+n(B)−2n(A∩B)

=50+20−2(10)=50

Answer 2

The cardinal number of G = 0

Given:

G = {x|x ∈ N and x is a negative}

To find:

The cardinal number of set G = {x|x ∈ N and x is a negative}

Solution:

Let's remember about Cardinal Number of a set

The Cardinal number of set

• The Cardinal numbers or Cardinals of a set is the number which we use to count the number of elements in a Set  
• Simply we can say that the cardinal number of a set is equals to number of elements in a Set
• Let A = {a, b, c, d}  be a set then Cardinal number of A is 4

Given G = {x|x ∈ N and x is a negative}

Here, x  is belongs to N and a negative number

As we know Natural Number (N) = 1, 2, 3, 4 ......

                                               [ where all number are positive number ]

There is no such value which is negative and belongs to N

⇒ G = { } or G is empty set

The cardinal number of G = 0

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