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

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.

Week 121 Law of Large Numbers Toss a coin n times. Suppose X i 's are Bernoulli random variables with p = ½ and E(X i ) = ½. The proportion of

Law of Large Numbers Strong and weak, with proofs and exercises

Proof of the Law of Large Numbers Part 2: The Strong Law, by Andrew Rothman

Mathematics, Free Full-Text

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

Law of Large Numbers Strong and weak, with proofs and exercises

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

probability - Is the Law of Large Numbers empirically proven? - Mathematics Stack Exchange

Distinct neuronal representation of small and large numbers in the human medial temporal lobe

regression - How can we explain the bad reputation of higher-order polynomials? - Cross Validated

Cambridge International AS and A Level Mathematics Statistics by Ayman Alam - Issuu

Weak Law of Large Numbers (WLLN). Overview, by Pablo Kowalski Kutz

Solved Problem 4: The Strong Law of Large Numbers is a

probability - Proof explanation - weak law of large numbers - Mathematics Stack Exchange

Law of Large Numbers - Definition, Examples, Insurance, Statistics