Question

evaluate the following.

\\\left| |-15| - |6 - 12| \
ight|\\

Explanation:

Evaluate the inner terms

We first evaluate the inner absolute value expressions.

$$ |-15| = 15 $$

$$ |6 - 12| = |-6| = 6 $$

Substitute and simplify

We substitute these values back into the main expression.

$$ \Big| |-15| - |6 - 12| \Big| = |15 - 6| $$

Calculate the final absolute value

We perform the subtraction and apply the outer absolute value.

$$ |15 - 6| = |9| = 9 $$

Answer:

Evaluate the following.

$$ \Big| |-15| - |6 - 12| \Big| = $$

<blank>9</blank>