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.

If your player is Erik, create a expression that shows all of the ways that Erik will win if Nita chooses 7. If your player is Nita, create a expression that shows all of the ways that Nita will win if Erik chooses 17.

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.

Graph all the possible numbers that your player could pick.

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 Nita have a good chance of winning?

Explain your answer.