What is the value of | (−2)(−3)(−2) | − | −3 −12 | ? (September 2023 - G01)

Correct answer: A. -3.
Let's solve the expression step-by-step:

Inner absolute values:
|-2 * (-3) * (-2)| = |12| = 12 (absolute value of a positive number is the number itself)
|-3 - 12| = |-15| = 15 (absolute value of a negative number is its negative)
Outer absolute value:

12 - 15 (since the outer absolute value doesn't change the order of subtraction)

Result:
12 - 15 = -3
Therefore, the value of the expression is -3.