Final answer:
The inequality showing the lower and upper bounds of a number, n, which is 9.73 when rounded to two decimal places is 9.725 ≤ n < 9.735.
Step-by-step explanation:
A number, n, is 9.73 when rounded to two decimal places. To find the lower and upper bounds of n we need to look at the value just below and just above that would round to 9.73. The rounding to two decimal places suggests that the third decimal place is less than 5 to round down, or 5 or greater to round up.
So, the smallest number that would round up to 9.73 would have to be at least 9.725 because if it were any smaller, it would round down to 9.72. Conversely, the largest value n could be is just shy of 9.735, because 9.735 would round up to 9.74.
Thus, the inequality that describes the lower and upper bounds of n is:
9.725 ≤ n < 9.735