Question

$\mathrm{If}Q:\mathrm{Set}\mathrm{of}\mathrm{Rational}\mathrm{numbers}N:\mathrm{Set}\mathrm{of}\mathrm{Natural}\mathrm{numbers}\mathrm{Then}"\forall q\in Q\exists n\in N\mathrm{such}\mathrm{that}q<n.",then-$

• A. For any rational number q there exists a natural number n such that q<n.
• B. There is a natural number which is greater than every rational number.
• C. Every rational number is less than natural number.
• D. There exists natural and rational number(n and q) such that q<n

Answer 1

The correct option is A For any rational number q there exists a natural number n such that q<n.

The statement reads as "For every 'q' belonging to the set of Rational numbers there exists an 'n' belonging to the set of Natural numbers such that q is lesser than n."