यदि \(A\subseteq B\), तो (\mathcal{P}(A)) और (\mathcal{P}(B)) के बीच सही संबंध क्या है?
If \(A\subseteq B\), what is the correct relation between (\mathcal{P}(A)) and (\mathcal{P}(B))?
Explanation opens after your attempt
Correct Answer
A. \(\mathcal{P}(A)\subseteq\mathcal{P}(B)\)
Concept
Every subset of (A) is also a subset of (B). So the same direction holds for power sets.
Why this answer is correct
The correct answer is A. \(\mathcal{P}(A)\subseteq\mathcal{P}(B)\). Every subset of (A) is also a subset of (B). So the same direction holds for power sets.
Exam Tip
(A) का हर उपसमुच्चय (B) का भी उपसमुच्चय होगा। इसलिए घात समुच्चय में भी यही दिशा रहती है।
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