To determine the lower boundary of the interval [tex]\(0-4\)[/tex], we need to consider the smallest value within this interval.
1. The interval [tex]\(0-4\)[/tex] includes all numbers starting from [tex]\(0\)[/tex] up to [tex]\(4\)[/tex], inclusive.
2. The smallest value in this interval is [tex]\(0\)[/tex].
Now, considering the concept of interval boundaries, we often adjust the boundaries slightly for various purposes, such as binning data in statistics. Here, since we're tasked with identifying the lower boundary with the given choices, we look at an adjustment that subtracts 0.5 from the lower limit to clarify boundaries.
Therefore, the adjusted lower boundary would be [tex]\(0 - 0.5\)[/tex].
Hence, the correct answer is:
A. [tex]\(-0.5\)[/tex]
