Question

What is the if-then form of the following conditional statement? "It is time for dinner if it is 6 pm."

• A. If it is time for dinner, then it is 6 pm
• B. If you want to eat dinner, then you must eat at 6 pm
• C. If it is 6 pm, then it is time for dinner
• D. If it is 6 pm, then it is no the time for dinner

Hint:

A statement of the form "P if Q" is rewritten in if-then form as "If Q, then P".

Answer 1

The Correct Option is C

Step 1: Understanding Conditional Statements A conditional statement of the form: \[ \text{"P if Q"} \] is rewritten in if-then form as: \[ \text{"If Q, then P"} \]
Step 2: Rewriting the Given Statement The statement "It is time for dinner if it is 6 pm" means: \[ \text{"If it is 6 pm, then it is time for dinner."} \]
Step 3: Evaluating the Options
- (A) Incorrect: The order of the conditional is reversed.
- (B) Incorrect: The phrase "you want to eat dinner" is not part of the original statement.
- (C) Correct: Matches the correct if-then form.
- (D) Incorrect: Contains incorrect negation.