Final answer:
The correct inequality among the choices given is d. |12| < |81| because the absolute value of 12 is 12, which is less than the absolute value of 81, which is 81.
Step-by-step explanation:
The student asked which inequality is true:
- a. |-15| > |-191|
- b. |-161| < |131|
- c. |-15| > |12|
- d. |12| < |81|
- e. |-19| > |-201|
To solve this, we look at the absolute value of each number, which is the non-negative value of that number regardless of its original sign. The answer is:
This is because the absolute value of 12 is 12, and the absolute value of 81 is 81. So, 12 is indeed less than 81, which makes option d the correct inequality.