Which symbol represents the conjunction in truth tables as given?

Which symbol represents the conjunction in truth tables as given?

• A. P and Q
• B. P or Q
• C. Q -> P
• D. P ^ Q

Answer: (D)

Conjunction is the “and” operation: it combines two statements and is true only when both are true. In a truth table, P ∧ Q is true only on the row where both P and Q are true. The symbol most commonly used for this conjunction in truth-table notation is the caret, written as P ^ Q, which corresponds exactly to the conjunction operation. The other options represent different things: the English phrase “P and Q” conveys the idea but isn’t a symbolic form, “P or Q” is disjunction (true if at least one is true), and “Q → P” is implication (true except when Q is true and P is false). So the symbol for conjunction here is P ^ Q.

Conjunction is the “and” operation: it combines two statements and is true only when both are true. In a truth table, P ∧ Q is true only on the row where both P and Q are true. The symbol most commonly used for this conjunction in truth-table notation is the caret, written as P ^ Q, which corresponds exactly to the conjunction operation. The other options represent different things: the English phrase “P and Q” conveys the idea but isn’t a symbolic form, “P or Q” is disjunction (true if at least one is true), and “Q → P” is implication (true except when Q is true and P is false). So the symbol for conjunction here is P ^ Q.