Algebraic Proof of an Inequality

Algebraic Proof of an Inequality

IP 2

TGM Original Questions

For any positive integers \(m\) and \(n\), show that \(\frac{m}{n}+\frac{n}{m}\ge 2\).

Video Solution:

Video solution locked

A free account saves your progress; this video needs a course plan.

Create free account Sign in Get the E Math course · from S$29.98/mo

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Create free account Sign in Get the E Math course · from S$29.98/mo E Math tuition

Create a free account to practise similar questions.

Create free account Sign in Get the E Math course · from S$29.98/mo E Math tuition

Answer:\(\displaystyle \frac{m}{n}+\frac{n}{m}\ge2\), with equality when \(m=n\)

Need help? Join our E-Maths tuition for O-Level success.