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

Study for the Geometry Regents Exam. Enhance your skills with flashcards and multiple choice questions, including hints and explanations. Prepare thoroughly for your test!

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.

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