State whether any given set is finite or infinite:

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.  

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