Chapter 9 - Basic Algebra - 9.1 Signed Numbers - 9.1 Exercises - Page 629: 48

False

We know that $|-12|=12$, because -12 is 12 spaces away from 0 on the number line. We know that $|-15|=15$, because -15 is 15 spaces away from 0 on the number line. So, $|-12|\gt|-15|$ is equivalent to $12\gt15$. This is false, because 12 is to the left of 15 on the number line. Therefore, the statement $|-12|\gt|-15|$ is false.