What is the result of p being false and q being true for p ∨ q?

What is the result of p being false and q being true for p ∨ q?

• A. True
• B. False
• C. Both false
• D. Undefined

Answer: (A)

To determine the result of the expression p ∨ q (where "∨" signifies the logical OR operation), we need to examine the truth values of p and q. In this case, p is false and q is true. The logical OR operation evaluates to true if at least one of the operands is true. Since q is true in this scenario, the entire expression p ∨ q evaluates to true, regardless of the value of p. The presence of the true value from q is sufficient to confirm that the result of the OR operation is true. In situations involving logical operations: - If at least one statement is true (in this case, q), the OR operation results in true. - Conversely, the entire operation would only be false if both p and q were false. This supports the conclusion that when p is false and q is true, the outcome is indeed true.

To determine the result of the expression p ∨ q (where "∨" signifies the logical OR operation), we need to examine the truth values of p and q. In this case, p is false and q is true.

The logical OR operation evaluates to true if at least one of the operands is true. Since q is true in this scenario, the entire expression p ∨ q evaluates to true, regardless of the value of p. The presence of the true value from q is sufficient to confirm that the result of the OR operation is true.

In situations involving logical operations:

• If at least one statement is true (in this case, q), the OR operation results in true.

• Conversely, the entire operation would only be false if both p and q were false.

This supports the conclusion that when p is false and q is true, the outcome is indeed true.