Question

Which one of the following sets is infinite?

• A. Set of all integers greater than $5$
• B. Set ofall integers between $-{10}^{10}$ and $+{10}^{10}$
• C. Set of all prime numbers between $0$ and ${10}^{100}$
• D. Set of all even prime numbers

Answer 1

Answer: (A)

Set of all integers greater than $5$

Clearly, the sets in options B, C and D have finite number of elements and hence are finite sets.

Also, the set in option A is $\{6,7,8,9,10,11,.....\}$, which an infinite set.