यदि \(A\setminus B=A\setminus C\) और \(B\subseteq C\), तो कौन सा निष्कर्ष अवश्य सत्य है?
If \(A\setminus B=A\setminus C\) and \(B\subseteq C\), which conclusion must be true?
Explanation opens after your attempt
Correct Answer
A. (A\cap \(C\subseteq B\)\cup\(A^c\))
Concept
Inside (A), the parts outside (B) and outside (C) are equal. Thus (A\cap\(C\setminus B\)) is empty, which is equivalent to the given inclusion.
Why this answer is correct
The correct answer is A. (A\cap \(C\subseteq B\)\cup\(A^c\)). Inside (A), the parts outside (B) and outside (C) are equal. Thus (A\cap\(C\setminus B\)) is empty, which is equivalent to the given inclusion.
Exam Tip
(A) के अंदर (B) से बाहर और (C) से बाहर भाग समान हैं। इसलिए (A\cap\(C\setminus B\)) खाली है, जो दिए गए समावेशन के बराबर है।
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