To determine the relationship between the numbers [tex]\(-6\)[/tex] and [tex]\(-1\)[/tex], let's consider their positions on the number line.
On the number line, numbers become larger as we move to the right and smaller as we move to the left. Negative numbers are located to the left of zero, and the further left you go, the smaller the number is.
1. The number [tex]\(-6\)[/tex] is positioned to the left of [tex]\(-1\)[/tex] on the number line.
2. Since [tex]\(-6\)[/tex] is further left, it is smaller than [tex]\(-1\)[/tex].
Therefore, comparing [tex]\(-6\)[/tex] and [tex]\(-1\)[/tex], we find that [tex]\(-6\)[/tex] is indeed less than [tex]\(-1\)[/tex].
Thus, the correct answer is:
[tex]\[
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