Question

Which of the following statement represents a finite set?

• A. Set of positive integers greater than 100
• B. Set of points common to any 2 parallel lines
• C. Set of points on a line
• D. Set of rational numbers between 1 and 2

Answer 1

The correct option is B Set of points common to any 2 parallel lines

Option A: Set of integers greater than 100 = {101, 102, - - - -}. This is an infinite set as numbers greater than 100 are not countable.

Option B: There are no points common to any 2 parallel lines = { }. This is an empty set with zero elements; thus, it is a finite set.

Option C : There are infinite points on a line. So, this is also an infinite set.

Option D : There are infinite rational numbers between any two rational numbers. Thus, the set of rational numbers between 1 and 2 has uncountable number of elements. Thus, it is also an infinite set.