In logical terms, how is "If...Then..." expressed?

• A. => or "right arrow"
• B. ↔
• C. ~
• D. Λ

Answer: (A)

The correct representation of "If...Then..." in logical terms is denoted by the symbol "=>" or the "right arrow." This notation signifies a conditional statement where one proposition implies another. In logical expressions, the phrase "If P, then Q" can be interpreted as P => Q, indicating that if P is true, then Q must also be true. This representation is fundamental in formal logic and is essential for constructing implications in mathematical proofs and reasoning.

The other symbols listed represent different logical concepts. The double arrow (↔) is used to indicate logical equivalence, commonly read as "P if and only if Q." The tilde (~) represents negation, showing that a statement is not true. Lastly, the symbol Λ denotes conjunction, meaning "and," which combines two statements to form a compound statement. Understanding these distinctions is crucial for correctly interpreting and using logical expressions in mathematics and related fields.