1. Determine the truth value of the following statement:
Rome is a city in France or all numbers are divisible by 1.
True
False
True.
To determine the truth value of the statement "Rome is a city in France or all numbers are divisible by 1," we can break it down into two parts and assess the truth value of each part individually.
1. "Rome is a city in France": This part of the statement is false because Rome is not a city in France. Rome is actually the capital city of Italy.
2. "All numbers are divisible by 1": This part of the statement is true. By definition, all numbers are divisible by 1. Any number divided by 1 will always result in the original number.
Since one part of the statement is false ("Rome is a city in France") and the other part is true ("All numbers are divisible by 1"), the overall truth value of the statement is true.
In conclusion, the truth value of the statement "Rome is a city in France or all numbers are divisible by 1" is True.