Answer :

A. {x: x Z, x < 5}


The above expression says that x defines the set. While the x belongs to integers which are less than 5.


We know that Z contains -∞ to ∞


But her it will contain elements from -∞ to 5


So, this is an infinite set.


B. {x: x W, x ≥ 5}


The above expression says that x defines the set. While the x belongs to whole numbers(W) which is ≥ 5.


We know that W contains 0 to ∞


But her it will contain elements from 5 to ∞


So, this is an infinite set.


C. {x: x N, x > 10}


The above expression says that x defines the set. While the x belongs to natural numbers(N) which greater than 10.


We know that N contains 1 to ∞


But her it will contain elements from 10 to ∞


So, this is an infinite set.


D. {x: x is an even prime number}


The above expression says that x defines the set. While the x belongs to even prime number (prime numbers which are even). Fortunately, we have only one even prime number that is ‘2’


So, this is finite series.

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