Tip:A–D to answerE for explanationV for videoS to reveal answer
The compound statement with ‘And’ is false if _______ of its compound statements are _______
- A.
all true
- B.
any, true
- C.
any, false
(Correct Answer) - D.
None of the above
Correct Answer: any, false
Explanation
Logic Rule for Conjunction (P∧Q)
A compound statement P∧Q is True only if both individual statements are true. If even one part is false, the entire statement becomes false.
The Solution
The compound statement with ‘And’ is false if at least one of its component statements is false.
In a typical fill-in-the-blanks format:
The compound statement with ‘And’ is false if any one of its component statements are false.
