Final answer:
The correct upper and lower bounds for the number 4.5, when rounded to one decimal place, are 4.45 and 4.55, respectively. None of the provided options (4.4 and 4.6, 4.5 and 4.6, 4.4 and 4.5, or 4.5 and 4.7) accurately represent this range.
Step-by-step explanation:
The upper and lower bounds of a number rounded to a certain decimal place can be identified by considering what values would round to that number. For the value 4.5, rounded to the nearest 1 decimal place, the range of numbers that would round to it would be from just above the halfway point below it up to, but not including, the halfway point above it. In numerical terms, this spans from 4.45 (which would round up to 4.5) to 4.55 (which would round down to 4.5).
Given this, the proper upper and lower bounds for 4.5 rounded to one decimal place are 4.45 (lower bound) and 4.55 (upper bound). Therefore, the correct range is not provided in the provided options. The options provided are incorrect as they do not account for the full span of values that round to 4.5.