Question

The Set $K=\{k:0\le k\le 1,k\in R\},$ where $R$ is the set of all real numbers is

• A. an infinite set
• B. a finite set
• C. a singleton set

Answer 1

The correct option is A an infinite set

Given $K=\{k:0\le k\le 1,k\in R\},$ where $R$ is the set of all real numbers.
$K$ can be translated as the set of all real numbers $k:0\le k\le 1.$
Now, we know between any two integers we can have infinite real numbers.

Hence, the set $K$ is an infinite set.