AMC / AIME · AM-GM Inequality · Easy

AM-GM Inequality: Solve math for the greatest integer math.

Means inequality.

Try the problem

Solve 2x≤102x\le10 for the greatest integer xx.

Hint and answer

Concept to use

Two terms.

Hint

Isolate the variable; reverse the sign when multiplying by a negative.

Answer

5

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