Final answer:
All x-values at a distance of 17 or less from the number 10 are those that fall within the range of -7 to 27 inclusive.
Step-by-step explanation:
The student is asking for a description of all the x-values that are at a distance of 17 or less from the number 10. This can be represented by the inequality -7 ≤ x ≤ 27. Starting from the number 10, we need to find all x-values that are within a distance of 17 units, which means we can go 17 units in either direction (to the left for smaller values, to the right for larger values). So, the smallest x-value is 10 - 17 = -7 and the largest x-value is 10 + 17 = 27. Therefore, any x-value that is greater than or equal to -7 and less than or equal to 27 is within 17 units of 10.