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Tuymaada 2010, Junior League, Problem 5

Source:

July 18, 2010

limitcalculusintegrationalgebra unsolvedalgebra

Problem Statement

We have a set

M

of real numbers with

|M|>1

such that for any

x\in M

we have either

3x-2\in M

or

-4x+5\in M

. Show that

M

is infinite.

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