Respuesta :
The set of integers less than zero is the set of all negative numbers, of which there is an infinite number. Thus, the last one.
{x | x is an integer that is less than 0} is not a finite set.
We need to find which of the given options is not finite sets.
What is the finite set?
In mathematics, particularly set theory, a finite set is a set that has a finite number of elements. Informally, a finite set is a set in which one could in principle count and finish counting.
Now,
{x | x is a natural number less than 10}={x|x∈N ∧ n<10}
={1, 2, 3, 4, 5, 6, 7, 8, 9}
It is a finite set.
{x | x is a whole number between 0 and 10}={x|x∈W ∧ 0<x<10}
={0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
It is a finite set.
{x | x is an integer that is less than 0}={x|x∈Z ∧ x<0}
={..........., -4, -3, -2, -1, 0, 1, 2, 3, 4,.......}
It is not a finite set.
Therefore, {x | x is an integer that is less than 0} is not a finite set.
To learn more about a finite set visit:
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