To rewrite the expression \( 16 - 7 + 22 - 12 \) using the additive inverse, we can replace each subtraction with an addition of the additive inverse.
The expression \( 16 - 7 + 22 - 12 \) can be rewritten as:
\[ 16 + (-7) + 22 + (-12) \]
Among the given options, the one that matches this rewriting is:
16 + (–7) + 22 + (–12)
So the correct answer is:
16 + (–7) + 22 + (–12)