Question:
State whether any given set is finite or infinite:
$G=\{x \in Z: x<1] .$
Solution:
Integers = -3, -2, -1, 0, 1, 2, 3, …
Integers less than 1 (x < 1) = …-4, -3, -2, -1, 0
There are infinite integers which are less than 1
∴ the given set is infinite.