Final Answer:
The other number is less than -2.1, and one possible value is -3.6.
Step-by-step explanation:
In the given inequality, -2.1 is positioned below the other number on a vertical number line, indicating that the other number is greater than -2.1. The specific value provided, -3.6, satisfies this condition as it is indeed less than -2.1. To understand this, it's essential to recognize that on a number line, as we move downward, the values decrease. In this context, -3.6 is below -2.1, confirming that it is a valid solution.
Mathematically, the inequality can be represented as x < -2.1, where x is the unknown number. By substituting -3.6 for x, we can verify the inequality: -3.6 < -2.1. This statement holds true since -3.6 is indeed less than -2.1. It's crucial to grasp the concept that a smaller numeric value on the number line corresponds to a lesser magnitude, reinforcing the validity of -3.6 as a solution.
Therefore, the answer is twofold: the other number is less than -2.1, and -3.6 is a valid solution. This conclusion aligns with both the given information about the vertical placement on the number line and the mathematical representation of the inequality.