Answer :
Let's analyze the information step by step based on the data given:
### Data Summary
- BOB: 28 years old, 55 kilograms, 181 centimeters tall.
- HOMER: 39 years old, 80 kilograms, 155 centimeters tall.
- ALICE: 15 years old, 33 kilograms, 160 centimeters tall.
### Statements and Their Validity
1. Homer is [tex]\(\text{OLD}\)[/tex] (OLDER) than Alice.
- Homer's age: 39 years
- Alice's age: 15 years
- Comparison: 39 years (Homer) > 15 years (Alice)
- Result: Homer is older than Alice.
- Answer: True
2. Alice is [tex]\(\text{INTELLIGENT}\)[/tex] (MORE INTELLIGENT) than Bob.
- There is no data provided on intelligence.
- Result: Cannot be determined
- Answer: Skip this comparison (invalid data)
3. Bob is [tex]\(\text{SHORT}\)[/tex] (SHORTER) than Homer.
- Bob's height: 181 centimeters
- Homer's height: 155 centimeters
- Comparison: 181 centimeters (Bob) > 155 centimeters (Homer)
- Result: Bob is not shorter than Homer.
- Answer: False
4. Homer is [tex]\(\text{FAT}\)[/tex] (FATTER) than Bob.
- Homer's weight: 80 kilograms
- Bob's weight: 55 kilograms
- Comparison: 80 kilograms (Homer) > 55 kilograms (Bob)
- Result: Homer is fatter than Bob.
- Answer: True
5. Bob is [tex]\(\text{YOUNG}\)[/tex] (YOUNGER) than Homer.
- Bob's age: 28 years
- Homer's age: 39 years
- Comparison: 28 years (Bob) < 39 years (Homer)
- Result: Bob is younger than Homer.
- Answer: True
6. Alice is [tex]\(\text{SHORT}\)[/tex] (SHORTER) than Homer.
- Alice's height: 160 centimeters
- Homer's height: 155 centimeters
- Comparison: 160 centimeters (Alice) > 155 centimeters (Homer)
- Result: Alice is not shorter than Homer.
- Answer: False
7. Homer is [tex]\(\text{SLOW}\)[/tex] (SLOWER) than Bob.
- There is no data provided on speed.
- Result: Cannot be determined
- Answer: Skip this comparison (invalid data)
### Summary
- Homer is OLD[tex]\(\text{ER}\)[/tex] than Alice: True
- Alice is MORE (INTELLIGENT) than Bob: Skipped
- Bob is SHORT[tex]\(\text{ER}\)[/tex] than Homer: False
- Homer is FAT[tex]\(\text{TER}\)[/tex] than Bob: True
- Bob is YOUNG[tex]\(\text{ER}\)[/tex] than Homer: True
- Alice is SHORT[tex]\(\text{ER}\)[/tex] than Homer: False
- Homer is SLOW[tex]\(\text{ER}\)[/tex] than Bob: Skipped
### Data Summary
- BOB: 28 years old, 55 kilograms, 181 centimeters tall.
- HOMER: 39 years old, 80 kilograms, 155 centimeters tall.
- ALICE: 15 years old, 33 kilograms, 160 centimeters tall.
### Statements and Their Validity
1. Homer is [tex]\(\text{OLD}\)[/tex] (OLDER) than Alice.
- Homer's age: 39 years
- Alice's age: 15 years
- Comparison: 39 years (Homer) > 15 years (Alice)
- Result: Homer is older than Alice.
- Answer: True
2. Alice is [tex]\(\text{INTELLIGENT}\)[/tex] (MORE INTELLIGENT) than Bob.
- There is no data provided on intelligence.
- Result: Cannot be determined
- Answer: Skip this comparison (invalid data)
3. Bob is [tex]\(\text{SHORT}\)[/tex] (SHORTER) than Homer.
- Bob's height: 181 centimeters
- Homer's height: 155 centimeters
- Comparison: 181 centimeters (Bob) > 155 centimeters (Homer)
- Result: Bob is not shorter than Homer.
- Answer: False
4. Homer is [tex]\(\text{FAT}\)[/tex] (FATTER) than Bob.
- Homer's weight: 80 kilograms
- Bob's weight: 55 kilograms
- Comparison: 80 kilograms (Homer) > 55 kilograms (Bob)
- Result: Homer is fatter than Bob.
- Answer: True
5. Bob is [tex]\(\text{YOUNG}\)[/tex] (YOUNGER) than Homer.
- Bob's age: 28 years
- Homer's age: 39 years
- Comparison: 28 years (Bob) < 39 years (Homer)
- Result: Bob is younger than Homer.
- Answer: True
6. Alice is [tex]\(\text{SHORT}\)[/tex] (SHORTER) than Homer.
- Alice's height: 160 centimeters
- Homer's height: 155 centimeters
- Comparison: 160 centimeters (Alice) > 155 centimeters (Homer)
- Result: Alice is not shorter than Homer.
- Answer: False
7. Homer is [tex]\(\text{SLOW}\)[/tex] (SLOWER) than Bob.
- There is no data provided on speed.
- Result: Cannot be determined
- Answer: Skip this comparison (invalid data)
### Summary
- Homer is OLD[tex]\(\text{ER}\)[/tex] than Alice: True
- Alice is MORE (INTELLIGENT) than Bob: Skipped
- Bob is SHORT[tex]\(\text{ER}\)[/tex] than Homer: False
- Homer is FAT[tex]\(\text{TER}\)[/tex] than Bob: True
- Bob is YOUNG[tex]\(\text{ER}\)[/tex] than Homer: True
- Alice is SHORT[tex]\(\text{ER}\)[/tex] than Homer: False
- Homer is SLOW[tex]\(\text{ER}\)[/tex] than Bob: Skipped