If P is true and Q is false, what is the value of P ∨ Q?*4 pointsP ∨ Q is TrueP ∨ Q is False

Break Down the Problem

1. Identify the logical values of P and Q:

   • $P = \text{True}$
   • $Q = \text{False}$

2. Understand the operation $P \lor Q$ (P OR Q):

   • The logical OR operation results in true if at least one operand is true.

Relevant Concepts

3. The logical disjunction (OR) operation is defined as:
   • $P \lor Q = \text{True}$ if $P$ is true or $Q$ is true (or both).
   • $P \lor Q = \text{False}$ only if both $P$ and $Q$ are false.

Analysis and Detail

4. Given $P$ is true and $Q$ is false:
   • $P \lor Q = \text{True} \lor \text{False} = \text{True}$

Verify and Summarize

5. Since at least one of the operands (in this case, P) is true, we confirm that $P \lor Q$ is true.

Final Answer

$P \lor Q$ is True.