Find the cardinality of the following set.
D = { x ∈ N ∣ x < 2 and ≥ 5 }
n ( D ) =
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Step-by-step explanation:
Given :
D = { x ∈ N | x < 2 and x ≥ 5 }
Thus D can have values of x when x < 2 and when x ≥ 5 .
This means that D can have the following values which x can hold:
x < 2 , hence x is given less than 2 .
It is also given that x ≥ 5 which means x is more than or equal to 5 .
But it is not possible for a number to be less than 2 and more than 5 and hence there is no existing values for x .
D is hence a null set .
Cardinality of a set is the number of elements in it .
The cardinality will be 0 .
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