Which one of the following is a finite set?

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.