Question

The Kingston Mall has more stores than the Galleria. The Four Corners Mall has fewer stores than the Galleria. The Kingston Mall has more stores than the Four Corners Mall. If the first two statements are true, the third statement is:

• A. True
• B. False
• C. Uncertain
• D. None of these

Hint:

In inequality-based reasoning, always align the comparisons with a common reference (here, Galleria) to derive the relationship between others.

Answer 1

The Correct Option is A

Step 1: Translate conditions.
- Kingston Mall (K) has more stores than Galleria (G) \(\Rightarrow K > G\).
- Four Corners Mall (F) has fewer stores than Galleria \(\Rightarrow F > G\). 

Step 2: Compare K and F.
Since \(K > G\) and \(F > G\), it follows directly that \(K > F\). 

Step 3: Check conclusion.
The third statement says: "The Kingston Mall has more stores than the Four Corners Mall." This is true. \[ \Rightarrow \boxed{\text{(a) True}} \]

Answer 2

Instead of reasoning purely with inequality symbols, assign sample store counts consistent with the two given statements and check whether the third statement always holds.

1. Try Galleria = 50 stores: Kingston must have more than \(50\), say \(70\); Four Corners must have fewer than \(50\), say \(30\). Then Kingston (\(70\)) \(>\) Four Corners (\(30\)) — true.
2. Try Galleria = 10 stores: Kingston \(=200\), Four Corners \(=2\). Again Kingston (\(200\)) \(>\) Four Corners (\(2\)) — true.
3. Try Galleria = 1000 stores: Kingston \(=1001\), Four Corners \(=1\). Kingston (\(1001\)) \(>\) Four Corners (\(1\)) — true.

In every consistent example, Kingston always has more stores than Four Corners, since both comparisons pass through the same middle value (Galleria).

the correct answer is True.