AMC / AIME · AM-GM Inequality · Medium

AM-GM Inequality: Solve math. Find the greatest integer solution.

Means inequality.

Try the problem

Solve ∣x−3∣<2|x-3|<2. Find the greatest integer solution.

Hint and answer

Concept to use

Equality cases.

Hint

For AM-GM, equality gives the extremum when terms are equal.

Answer

4

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