Final answer:
The value of Z that makes the expression Z - 11.5 a negative number is 11.4, because when it is subtracted from 11.5, the result is -0.1, which is a negative number.
Step-by-step explanation:
To determine which value of Z makes the expression Z - 11.5 a negative number, we need to find a value of Z that is less than 11.5. Let's consider the given options:
- Z = 11.4: If we substitute this into the expression, we get 11.4 - 11.5, which equals -0.1. This is a negative number.
- Z = 11.5: Here, the expression would be 11.5 - 11.5, which equals 0. This is not a negative number.
- Z = 11.6: In this case, the expression would be 11.6 - 11.5, which equals 0.1. This is a positive number.
- Z = 11.7: Similarly, substituting this value would result in 11.7 - 11.5, which equals 0.2. This is also a positive number.
Therefore, the only value of Z that makes the expression Z - 11.5 a negative number is 11.4.