Final answer:
The range of integers for which the inequality s1 ≤ -15 holds true includes all integers fewer than or equal to -15, extending infinitely in the negative direction. There is no upper limit in the given options that accurately represents all numbers satisfying the inequality.
Step-by-step explanation:
The question asks for the range of integers for which the inequality s1 ≤ -15 holds true. To determine this, we need to look at all integers that are less than or equal to -15. This covers all numbers starting from -15 and goes down to any lower number, meaning option 1) -100 to -15 is not the complete range because there is no lower bound, option 2) -100 to 100 includes numbers greater than -15 which don't satisfy the inequality, option 3) -15 to 100 also contains numbers greater than -15, and option 4) -15 to -100 would only work if it was listed as -100 to -15 since we list numbers from the smallest to largest. Therefore, the correct range is from -infinity to -15, which includes all integers fewer than or equal to -15.