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. I pick Erik won and they asked,Use your previous answers to write an algebraic statement that represents all the ways your player will win. Be sure to define your variable

An algebraic statement that represents all the ways Eric will wins is [tex]|x-y|<10[/tex], where [tex]x[/tex] be the number that Eric thinks and [tex]y[/tex] be the number that Nita thinks.

If the difference between their two numbers is less than [tex]10[/tex], then Erik wins. If the difference between their two numbers is greater than [tex]10[/tex], then Nita wins.

Let [tex]x[/tex] be the number that Eric thinks and [tex]y[/tex] be the number that Nita thinks.

For to Eric to win, the difference in the numbers should be less than [tex]10[/tex].

That is, [tex]x-y<10[/tex], for [tex]x>y[/tex] or [tex]y-x<10[/tex], for [tex]y>x[/tex].

Or [tex]|x-y|<10[/tex].

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