Question

state whether the set is infinite or finite. {1, 2, 3, ..., 999, 1000} the set is infinite. the set is finite.

Explanation:

Step1: Define finite set

A finite set has a countable number of elements, with a clear end.

Step2: Analyze the given set

The set $\{1, 2, 3, ..., 999, 1000\}$ ends at 1000, so its total number of elements is 1000, a fixed countable number.

Answer:

The set is finite.