Final answer:
The lower and upper bounds of the difference between numbers f and g, each rounded to one decimal place, would be approximately 41.3 to 41.5.
Step-by-step explanation:
When a number f is rounded to one decimal place as 49.2, its lower bound is 49.15 and its upper bound is 49.249...
Similarly, when another number g is rounded to one decimal place as 7.8, its lower bound is 7.75 and its upper bound is 7.849....
To find the lower and upper bounds of f - g, you subtract the upper bound of g from the lower bound of f for the lower bound of the difference, and subtract the lower bound of g from the upper bound of f for the upper bound of the difference.
Therefore, the lower bound of f - g is 49.15 - 7.849... and the upper bound is 49.249... - 7.75.
The lower bound calculation: 49.15 - 7.849... = 41.300..., and for the upper bound: 49.249... - 7.75 = 41.499....
Thus, the bounds for f - g are approximately 41.3 to 41.5.