Question
Download Solution PDFयदि U = {1, 2, 3, 4, 5, 7, 8, 9} एक सार्वभौमिक समुच्चय है और A = {1, 2, 4, 8} है, तो A का पूरक ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
एक समुच्चय का पूरक:
माना कि A कोई समुच्चय है। तो A के समुच्चय को A’ या Ac द्वारा दर्शाया गया है जिससे A’ = {x: x ∉ A} = U – A है, जहाँ U सार्वभौमिक समुच्चय है।
गणना:
दिया गया है: U = {1, 2, 3, 4, 5, 7, 8, 9} एक सार्वभौमिक समुच्चय है और A = {1, 2, 4, 8} है।
यहाँ, हमें समुच्चय A का पूरक अर्थात् A' ज्ञात करना है।
चूँकि हम जानते हैं कि, यदि A एक समुच्चय है, तो A के पूरक को A’ = {x: x ∉ A} = U – A द्वारा ज्ञात किया गया है, जहाँ U सार्वभौमिक समुच्चय है।
⇒ A' = {3, 5, 7, 9}
अतः सही विकल्प 3 है।
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