A={x:-5<x <O, x £N} find the
Cordinal number of set A.?
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Answer:
n(A) = 0
Note:
★ Null set : The set which doesn't contain any element is called null set .
★ Null set is also known as empty set or void set.
★ Cardinal number : The number of elements in a set is called its cardinal number. Cardinal number of a set A is denoted by n(A) .
★ The cardinal number of a null set is zero.
Solution:
Here , we have ;
A = { x : -5 < x < 0 , x € N }
It is clear that , there is no natural number which lies between -5 and 0 .
Thus,
There is no element in the given set A.
Thus,
Set A is an empty set , ie ; A = ∅
Hence,
The cardinal number of set A is zero,
ie ; n(A) = 0
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