AMC 10 USA Math Olympiad

Basic Inequality – Problem 1 (Forerunner Problem List)

The simplest example of power mean inequality is the arithmetic mean – geometric mean inequality. Learn in this self-learning module for math olympiad

Problem – Basic Inequality

To enter a junior writing competition you must be under 12 years old. Which of the following is correct?

  • Age < 12
  • Age ≤ 12
  • Age > 12
  • Age ≥ 12

Key Concepts


Mathematical analysis


Check the Answer

Answer: Age < 12

Basic Problems of Inequalities

Secrets in Inequalities.

Try with Hints

The basic rule for inequalities can be explained by some imaginary values ………..

basic inequality - solution

Its one of the easiest sum. Here we only have to find the relation between the perimeter of this sum.We have two different perimeter

  1. Age
  2. Limitation on age
  3. So can you try to find the relation between these two that mentioned in this sum. Try to find it …………………………………….

For this sum its mentioned that the age is under 12 that means the age is less than 12.

If we try to implement it in this sum we can express it as :

Age \( \leq 12 \)

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