Draw the conclusion: 1. Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons. 2. Apartments in the Livingston Gate cost more than apartments in The Gaslight Commons. 3. Of the three apartment buildings, the Livingston Gate has the highest cost. If the first two statements are true, how should the third statement be classified?

Introduction / Context:
This is a short logical comparison problem involving three apartment complexes: Riverdale Manor, The Gaslight Commons and The Livingston Gate. You are given two comparative cost statements and then asked whether a third statement, claiming that one building is the most expensive, is true, false or indeterminate based on the first two statements.

Given Data / Assumptions:

Statement 1: Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons.
Statement 2: Apartments in The Livingston Gate cost more than apartments in The Gaslight Commons.
Statement 3: Of the three apartment buildings, The Livingston Gate costs the most.
We assume “cost more” and “cost less” refer to the same type of cost (e.g., rent or sale price) and that each comparison is strict (no ties).

Concept / Approach:
We can treat apartment costs as numbers on a number line. The statements give us inequalities among three values: Cost(Riverdale), Cost(Gaslight) and Cost(Livingston). Once we have the ordering, we can check whether Livingston's cost is indeed the highest among the three. Only the relative positions matter, not the actual amounts.

Step-by-Step Solution:
Let R, G and L denote the costs of apartments in Riverdale Manor, The Gaslight Commons and The Livingston Gate respectively. From Statement 1: R < G (Riverdale costs less than Gaslight). From Statement 2: L > G (Livingston costs more than Gaslight). Combining these two inequalities, we get the order: R < G < L. This ordering shows that Livingston Gate has a higher cost than Gaslight and also higher than Riverdale (since G > R and L > G, so L > R). Therefore, among the three buildings, Livingston Gate is indeed the most expensive.

Verification / Alternative check:
You can plug in sample numbers consistent with the inequalities. For example, let R = 10, G = 20 and L = 30. Then Statements 1 and 2 are satisfied, and Livingston is clearly the most expensive. Any set of numbers that preserves R < G and L > G will put L above both G and R. There is no way, under the given conditions, for Livingston not to have the highest cost, confirming Statement 3 as true.

Why Other Options Are Wrong:
Calling Statement 3 false would require a scenario in which either Riverdale or Gaslight costs as much or more than Livingston, which contradicts the inequalities. Saying “cannot be determined” ignores the clear ordering. The options “both TRUE and FALSE” or “none of these” are not logical here because we have a definite consequence from the first two statements.

Common Pitfalls:
Sometimes test-takers get confused when more than two items are compared and incorrectly assume that an intermediate item (here, Gaslight) could still be the highest. Drawing a quick number line or assigning example values can help verify the relative positions and prevent such confusion.

Final Answer:
The third statement is a necessary consequence of the first two and is therefore TRUE.