Final answer:
The expression | – 6 – (-3) | equals to 3 after applying the rule of changing the sign during subtraction and calculating the absolute value. However, none of the provided number line models (A, B, or C) match this value, so the correct answer is 'None of the above'.
Step-by-step explanation:
The number line model that matches the expression | – 6 – (-3) | is not provided in the options A, B, or C. To solve this expression, we need to understand the concept of the absolute value and the rules for adding and subtracting integers. The absolute value of a number is its distance from zero on the number line, regardless of direction. In the expression | – 6 – (-3) |, we first deal with the subtraction inside the absolute value. The rule for subtraction says to change the sign of the number being subtracted and then proceed with addition. Therefore, – 6 – (-3) becomes – 6 + 3, which equals to – 3. The absolute value of – 3 is 3, which is the distance from zero. However, none of the provided options (A, B, or C) show a number line model that matches this value. Thus, the correct answer is None of the above.