Question
Download Solution PDFयदि A = {1, 2, 3, 5, 7} और U = {1, 2, 3, 4, 5, 6, 7} हो तो A' को ज्ञात करें जहाँ U सार्वभौमिक समुच्चय है?
Answer (Detailed Solution Below)
Detailed Solution
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एक समुच्चय का संपूरक:
माना कि A कोई समुच्चय है। फिर A के संपूरक को A’ या Ac द्वारा निरूपित किया जाता है जैसे कि A’ = {x: x ∉ A} = U - A, जहां U सार्वभौमिक समुच्चय है।
गणना:
दिया गया: A = {1, 2, 3, 5, 7} और U = {1, 2, 3, 4, 5, 6 ,7}
जैसा कि हम जानते हैं कि, यदि A कोई समुच्चय है तो A’ = {x: x ∉ A} = U – A, जहां U सार्वभौमिक समुच्चय है।
⇒ A' = U - A = {4, 6}
इसलिए, सही विकल्प 2 है।
Last updated on May 31, 2025
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