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Yes 12 is less than 13
-13 is certainly less than 13
5. It does not have a value greater than 12. Consequently, it does not have a value greater than 12 and less than 13.
The magnitude of -13 is bigger than the magnitude of 12, but -13 is less than 12.
5 will make 12 and 13 a Pythagorean triad.