Question:
What is the if-then form of the following conditional statement? "It is time for dinner if it is 6 pm."
What is the if-then form of the following conditional statement? "It is time for dinner if it is 6 pm."
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A statement of the form "P if Q" is rewritten in if-then form as "If Q, then P".
Updated On: Feb 6, 2025
- If it is time for dinner, then it is 6 pm
- If you want to eat dinner, then you must eat at 6 pm
- If it is 6 pm, then it is time for dinner
- If it is 6 pm, then it is no the time for dinner
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The Correct Option is C
Solution and Explanation
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.
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