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Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If

 

Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use what you know about inequalities and absolute values to better understand the game. 1. a) Which player did you select? (1 point) Forming a Strategy and a New Rule 8. What is the range of numbers that will win the game for your player? If your player is Erik, assume that Nita chooses 7. If your player is Nita, assume that Erik chooses 17. (Hint: Remember that Erik and Nita can only use numbers from zero to 20.) (2 points) 9. Graph all the possible numbers that your player could pick. Compare this graph to your answer in question 8. If your player is Erik, and Nita chooses 7, does Erik have a good chance of winning? If your player is Nita, and Erik chooses 17, does Not have a good chance of winning? Explain your answer. (3 points: 1 point for the correct graph, 2 points for the explanation)

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