probability - Condition for strong law of large numbers : Understanding the solution - Mathematics Stack Exchange

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I am reading the solution of the following task: Here is the solution: From where does the last inequality in the second line comes from? Everything else is totally clear to me.

What Is the Law of Large Numbers?

Probability: For the Enthusiastic Beginner: 9781523318674: Morin, David J.: Books

Solved The Strong Law of Large Numbers states that Xˉ→E[X]

Proof of the Law of Large Numbers Part 1: The Weak Law, by Andrew Rothman

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Laws of Large Numbers (detailed explanation), by Anirudh G

Laws of Large Numbers (detailed explanation), by Anirudh G

L18.4 The Weak Law of Large Numbers

Law of large numbers - Wikipedia