Final answer:
The statement 'Some odd numbers are prime or 2 + 5 = 7' is true because both parts of this compound statement are individually true. For an 'or' statement to be true, at least one part must be true.
Step-by-step explanation:
The truth value of the statement 'Some odd numbers are prime or 2 + 5 = 7' can be determined by analyzing each part of the statement.
First, let's look at 'Some odd numbers are prime.' This part of the statement is true. Prime numbers are those that are greater than 1 and cannot be formed by multiplying two smaller natural numbers. There are several prime numbers that are odd, including 3, 5, 7, 11, and so on.
Next, '2 + 5 = 7' is an arithmetic statement that can be verified to be true as well.
Because both parts of the statement are true, and the statement connects the parts with 'or,' the overall statement is true as well. In logic, an 'or' statement is true if at least one of the parts is true.