Final answer:
After evaluating the absolute value expressions, 19 and 12, and subtracting them, we get 7. However, this result is not listed among the provided options, suggesting a possible typo in the question.
Step-by-step explanation:
To simplify the given expression |22-3| - |17-5|, we first need to calculate the value inside each absolute value function:
- First absolute value: |22-3| = |19| = 19 because the absolute value of a positive number is the number itself.
- Second absolute value: |17-5| = |12| = 12 for the same reason as above.
Next, we subtract the second result from the first:
19 - 12 = 7.
Therefore, the expression simplifies to 7, which is not one of the options provided in the question. It appears there might've been a typo in the options given.