Final answer:
To write the sentence as an inequality, subtract 8.1 from the number k and set it greater than 24. The inequality is k - 8.1 > 24.
Step-by-step explanation:
To write the sentence as an inequality, we need to express the difference between a number, k, and 8.1 as being greater than 24. We can start by representing the difference between k and 8.1 as k - 8.1. Then, we can write the inequality as k - 8.1 > 24.
So, the inequality that represents the difference of a number k and 8.1 being greater than 24 is k - 8.1 > 24.