Let A, B, C and D be four non-empty sets. The contrapositive statement of "If A \( \subseteq \) B and B \( \subseteq \) D, then A \( \subseteq \) C" is :
Show Hint
- If A ⊈ C, then A ⊈ B or B ⊈ D
- If A ⊈ C, then A ⊈ B and B \( \subseteq \) D
- If A \( \subseteq \) C, then B \( \subset \) A or D \( \subset \) B
- If A ⊈ C, then A \( \subseteq \) B and B \( \subseteq \) D
The Correct Option is A
Solution and Explanation
Step 2: Contrapositive: \(\sim R\to\sim(P\wedge Q)=\sim R\to(\sim P\vee\sim Q)\).
Step 3: In words: If A is not a subset of C, then A is not a subset of B or B is not a subset of D.
Answer: (A)
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