Question

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

Answer 1

So erik is x and nita is y
x-y<10 or y-x<10
because if erik picks 11 then 11-y has to be less than 10 so nita would pick any number greater  than one and if nita picks12 then 12-x has to be less than 10 so erik would have to choose a number greater than two

Answer 2

Erik-   |x-y|<10

Nita-    |x-y|>10