Question: . Consider the set { x in R : 0 < = x < 1 } and the operation x y = x + y

. Consider the set {x in R : 0<= x <1} and the operation x y = x + y (x + y). Show this is a group.
The operation is associative, but its a pain to show it, so just show the other three properties. Note
that x denotes the floor of x, gotten by dropping its decimal part. For instance, 1.73=1.

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