Final answer:
The possible integer values of x are whole numbers, based on the context of 1.5 ≤ x ≤ 4.5, x could only be 2, 3, or 4. When considering variables in different contexts, such as in statistics or algebra, the meaningful values of x can vary, including excluding nonsensical or impossible solutions.
Step-by-step explanation:
If x is an integer, the possible values that x can evaluate to are whole numbers without any fractional or decimal part. In the provided context, we see that x must satisfy certain conditions, such as being between 1.5 and 4.5, as well as possibly being represented by positive or negative values as in evaluating for both signs in the numerator: x = 0.0216 or x = -0.0224. However, since x is an integer, we need to consider only those values that fall within the range and are whole numbers. Therefore, the possible values of x in this case would be 2, 3, and 4.
Considering different scenarios, like the number of children in a family, x can take on the values of 0, 1, 2, 3, and so on. This shows one way in which the value of a statistical variable, such as x representing the number of children, can differ from variables in algebra that can assume continuous values. In cases where two potential values are obtained, such as positive or negative solutions, we often have to consider additional information to determine which value makes sense contextually, discarding the nonsensical or impossible one.