Final answer:
The smallest integer in a list with a median of 22 and a range of 12 is 10, found by subtracting the range from the median.
Step-by-step explanation:
To find the smallest integer in a list with a median of 22 and a range of 12, we need to understand the properties of medians and ranges in a set of numbers. The median is the middle number when a set of numbers are listed in order. With 9 integers in the list and a median of 22, the fifth number (when placed in ascending order) is 22. The range is the difference between the largest and smallest numbers in the set. Since the range is 12, if we subtract 12 from 22, we get the smallest number possible in the set.
Therefore, the smallest integer that could appear in the list is 22 - 12 = 10