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Answer:

Lower bound = 3.835

Upper bound = 3.844

Step-by-step explanation:

Given,

A number rounded to 2 decimal place = 3.84

In other to obtain the least and greatest number, we are mostly concerned about the third digit after the decimal point.

Knowing that numbers 5 and above are rounded to 1 while numbers below 5 are rounded to Zero.

Hence, the lower bound should have its original hundredth value as (4 - 1) such that it becomes 4 when the thousandth value is rounded to 1.

Lower bound = 3.835

The upper bound should have its thousandth value as one which is rounded to Zero, just a point below 5

Upper bound = 3.844